The 19-year-old blasted a 2-1 fastball thrown by Indians pitcher Zach McAllister in the third inning in his debut in the majors. Profar becomes the first player born in 1993 to get a hit in a major league game. He ended the game with two hits.
Josh Hamilton, Adrian Beltre and David Murphy lit up the fifth inning, each recording a solo shot.
The Rangers matched their best record through 133 games with 79 wins set in 1999.
Derek Holland picked up his tenth win as he allowed two runs over seven innings.