If x : y = 2 : 5, y : z = 4 : 3 then how do you find x : z?

Answer 1

For x/y = 2/5 and y/z = 4/3, obtain x/y times y/z equal to x/z.

By one-to-one correspondence, one has x/z as the product of 2/5 (or x/y) and 4/3 (or y/z) or 8/15.

In colon notation, x/z or x : z is then 8 : 15.