Spaniard Carlos Alcaraz outclassed American Sebastian Korda (21) (6-4, 6-4, 6-2).
The world number 6 therefore moves on to the next round and will face the Russian Khachanov for a place in the quarter-finals.
The Russian dominated Cameron Norrie (6-2, 7-5, 5-7, 6-4).
To discover
Roland Garros men's singles
Roland Garros single ladies