Question

Calculate what ratio and `x^(2) : yz` will form the mixed ratio ` xy : z^(2)`.

Answer 1

Let ` a : b " and " x^(2) : yz ` will form the mixed ratio ` xy : z^(2)`.
`:. a xx x^(2) : b xx yz = xy : z^(2)`
or, `(ax^(2))/(byz) = (xy)/z^(2) " or, " a/b = (xy xx yz)/(x^(2) xx z^(2)) = y^(2)/(xz)`
` :. a : b = y^(2) : xz `.
Hence the required ratio is `y^(2) : xz `.