If x: y = 3:5 and z : w = 2x : 5y, then what is the value of xz : yw?

x : y = 3 : 5

z : w = 2x : 5y

z : w = 2x : 5y

From the given ratio x : y = 3 : 5, let x = 3k and y = 5k, where k is a constant.

z : w = 2(3k) : 5(5k) = 6k : 25k

So, z : w = 6 : 25

Now,

xz = $$3k \times 6$$​ = 18kx

yw = $$5k \times 25$$​ = 125k

Thus, the ratio xz : yw = 18k : 125k = 18 : 125