If x is the simple interest on y and y is the simple interest on z, the Rate percent and the time being is same in both cases, what is the relation between x, y and z?

y² = xz

x is the simple interest on y 

SI = \(\frac{  P ×R ×  T }{100}\)

x = \(\frac{  y ×R ×  T }{100}\)

\(\frac{  x }{y}\) = \(\frac{ R ×  T }{100}\)      ----(1)

Similarly ,

y is the simple interest on z

 =y \(\frac{  z ×R ×  T }{100}\)

\(\frac{  y }{z}\) = \(\frac{ R ×  T }{100}\)       ----(2)

\(\frac{  x }{y}\) = \(\frac{  y }{z}\)

y² = xz

The correct answer is Option (1) → y² = xz