If varies directly as the square of y and x = 27 when y =3 find x when y= 7

"""x varies directly as the square of y""
x = ky²
""x = 27 when y = 3""
27 = k(3²)
Find the value of k.
27 = k(9)
27/9 = k(9)/9
k = 3
""find x when y = 7""
x = ky²
x = (3)(7²)
x = (3)(49)
x = 147

The answer is x = 147."