Question

Find the mean propotion between 36 and 225

Answer 1

90 is your ans dear

HOPE IT HELPS YOU

Answer 2

Answer:

90

Step-by-step explanation:

Let the mean proportion between 36 and 225 be x.

Then, we have:

=> 36 : x :: x : 225

=> Product of means = Product of extremes

=> x² = 36 × 225

=> x² = 8100

=> x = √8100

=> x = 90

Verification:

=> 36 : 90 :: 90 : 225

=> 36 × 225 = 90 × 90

=> 8100 = 8100

∴ L.H.S = R.H.S

Mean proportion:

Let a, b, c be in continued proportion.

Then a/b = b/c or b² = ac or b = √ac.

Here, b is called the mean proportion or geometric mean between a and c.