Show that 6, 36, 216 are in continued proportion.

If 6, 36, 216 are in continued proportion, then it should satisfy the condition b² = a x c

Here a = 6, b = 36, c = 216

∴ 36² = 6 x 216

1296 = 1296

Since it satisfies the condition b² = a x c, the numbers 6, 36, and 216 are in continued proportion.

∴ 6, 36, 216 are in continued proportion