During 15 Major League Baseball games, umpires reported that 1800 baseballs were used. If this ratio remained constant throughout the whole season, what is the constant of proportionality that relates the number of baseballs used, y, to the number of baseball games, x?

60

120

15

270

To find the constant of proportionality, we need to divide the total number of baseballs used by the number of baseball games: 1800 baseballs / 15 games = <<1800/15=120>>120 baseballs per game. Therefore, the constant of proportionality that relates the number of baseballs used, y, to the number of baseball games, x, is 120. Answer: \boxed{120}.