Let x and y be real numbers satisfying 2/x = y/3 = x/y. Determine x^3
2/x = y/3 ---> xy = 6
2/x = x/y ---> x2 = 2y ---> y = ½x2
xy = 6 and y = ½x2 ---> x( ½x2 ) = 6 ---> x3 = 12
