To find: Three geometric Mean

Given: The numbers and 432

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

geometric mean

Let G₁, G₂ and G₃ be the three geometric mean

Then r

⇒ r

⇒ r

⇒ r

⇒ r

⇒ r = 6

G₁ = ar = ×6 = 2

G₂ = ar²= ×6² = ×36 = 12

G₃ = ar³= ×6³ = ×216 = 72

Three geometric mean between and 432 are 2, 12 and 72.