Insert two geometric means between 9 and 243.

To find: Two geometric Mean

Given: The numbers are 9 and 243

Formula used: (i) r , where n is the number of

geometric mean

Let G₁ and G₂ be the three geometric mean

Then r

⇒ r

⇒ r

⇒ r

⇒ r = 3

G₁ = ar = 9×3 = 27

G₂ = ar²= 9×3² = 9×9 = 81

Two geometric mean between 9 and 243 are 27 and 81.