Captain Root moved to 86 not out, closing in on his first century in Australia and breaking the record for the number of runs scored by an England batter in a calendar year.

Malan is unbeaten on 80, on the verge of repeating the hundred he made in Perth on England's last tour down under.

They came together after Rory Burns, who only avoided a pair by overturning being given lbw on nought, fell for 13 and Haseeb Hameed was out for 27.

Australia earlier moved their overnight 343-7 to 425 all out, Travis Head the last man dismissed for 152, reaching 150 from 143 balls - the third-fastest in Ashes history.

Ben Stokes was able to bowl for England having been declared fit from the jarred knee that restricted his involvement on day two.

Australia will have the second new ball available early on day four, providing England with their next obstacle to setting a competitive fourth-innings target.

England battle in Brisbane

After being mauled for the first part of this match, day three belonged to England, even if it is still too early to think about matching the famous escape they managed at the Gabba in 2010.

Still, if they do go on to lose this match, the fact their batters have shown they can compete should boost the tourists for the rest of the series.

There are some niggling problems for Australia, too. David Warner did not take the field because of bruised ribs he suffered when batting, off-spinner Nathan Lyon is yet to take a wicket in the match and miles were covered by the pace bowlers with a short turnaround before the start of the second Test.

The pitch is showing some signs of uneven bounce and offering turn, so it can be argued that England's decision to bat first and include the spin of Jack Leach had some merit.

For that plan to work, they needed to bat well on day one, rather than be shot out in two sessions.

If England are beaten, it will be because of their first-innings batting. An Australia win is still the favourite, but not as certain as it once was.

Another Root record

Root has compiled one of the all-time great years of Test batting, but his entrance into this series in the first innings saw him feel for an edge to depart for a duck.

On Friday he was back into the groove that has made him so prolific. Rhythmical footwork, refusing to be tied down and scoring all around the wicket.

It is crucial for England that Root has found this touch early in the series, with the visitors unlikely to have a chance of regaining the urn without a big contribution from the skipper.

When he reached 27, he moved past Michael Vaughan's previous England-best mark of 1,481 runs for the year.

As the shadows lengthened, he played reverse-sweeps against Lyon, his old team-mate from a spell of club cricket in Adelaide.

Root needed treatment on his left leg after being struck by Mitchell Starc, battling through for the noisy pocket of England fans to be singing his name at the close.

Malan at home in Australia

Malan was one of only two men to score a hundred for England on their last tour of Australia, yet was not in the team as recently as four months ago.

The left-hander's return was partly because of his suitability to batting down under and this knock was further vindication of his recall.

Malan edged Pat Cummins just short of wicketkeeper Alex Carey when on one, but went on to leave with good judgement, showing he had learned from a tentative prod that brought his downfall in the first innings.

Strong through the off side, Malan was happy on the back foot against the pace bowlers and balletically used his feet to the spin of Lyon.

After he passed 50 for the fifth time in 11 innings in Australia, he bulleted a pull through the hands of Cummins at square leg, then almost miscued the home captain to Marcus Harris.

Malan struggled with cramp late in the day, though he remains with Root, and England will see it as vital that they are still together when the new ball is available 10 overs into the fourth morning.

'It's been a significant day for England'

BBC cricket correspondent Jonathan Agnew: "From a very desperate position, one where defeat looked certain, they've given themselves a chance. The one big difference between this game and the famous 2010-11 match is that a draw is not an option."

England batter Dawid Malan: "We're back in the game and hopefully we can get at least another 100-run partnership between me and Joe and then whoever comes in next. It's become a good wicket and hopefully we can get a good day tomorrow and cash in."

Ex-England pace bowler Steven Finn on Test Match Special: "Regardless of the result, it's been a significant day for this England team. They have set a precedent of how to bat against Starc, Cummins and everything Australia have going for them."

Former England captain Alastair Cook on BT Sport: "We know that this Australia side have cracked under pressure - we saw that against India last year and at Headingley in 2019. This side are getting closer to finding out how they cope under pressure under the new captaincy of Pat Cummins."

Australia batter Travis Head: "If we can get one or two wickets before the new ball or if not dry the runs up. If we can get them five or six down before it is evens we can drive the game. It will be a huge day tomorrow."