Question

If x, y and z are in continued proportion then $z:x::z^2:$.

• A. $x^2$
• B. $y^2$
• C. $y$

Answer 1

The correct option is B $y^2$

If x, y, and z are in continued proportion then $y^2=xz$
Multiply both sides of the equation by z
Equation becomes, $z{y}^2=x{z}^2$
$⟹\frac{z}{x}=\frac{z^2}{y^2}$
$⟹z:x::z^2:y^2$