An intriguing battle is on cards as the match is expected to be decided on fourth day itself with West Indies requiring 195 runs and visitors needing another seven wickets.
Darren Bravo (30 batting) and Shivnarine Chanderpaul (24 batting) added 51 runs for the undefeated fourth wicket stand after the Caribbeans were reduced to 80 for three.
The West Indian openers Adrian Barath (38, 36 balls, 4x4, 2x6) and Lendl Simmons (27, 41 balls, 3x4, 1x6) started in a whirlwind fashion adding 62 runs in 10.5 overs.
Barath in particular was in T20 mode as he hit Ishant for couple of sixes and four in over before Praveen Kumar made him flash at an away going delivery to be caught by Suresh Raina at slips.
Ramnaresh Sarwan (0) was snapped up brilliantly by Virat Kohli off Ishant Sharma. Simmons was beaten by an Ishant delivery that held its line to hit the off-stump.
The day however belonged to Dravid. His effort of 112 (274 balls, 10x4, 1x6) had its worth weight in gold as the battle-hardened veteran brought up one of his most satisfying three-figure mark on track where batting was difficult.
He was the last man to be dismissed after nearly six and half hour vigil as he tried hit Devendra Bishoo (4/65) out of the park. The wicket was a two-paced one where the other top-order batsmen struggled for survival. The 38-year-old former India captain was a picture of confidence as he brought up his hundred in 252 balls when he jabbed a Fidel Edwards delivery to scamper home for a single.