Question

find c, if 4ab2 , 5a2b and c are in continued proportion

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

c = $\frac{25}{4} a^{3}$

Step-by-step explanation:

We know,

If a, b and c are in continued-proportion, then  

a,b,b,c are in proportion, that is  

a : b : : b : c  

In this case

⇒ Product of extremes = Product of means  

⇒ a * c = b * b  

⇒ a * c = b²  

According to question,

4ab² , 5a²b and c are in continued proportion

Here

a = 4ab², b = 5a²b , c = c

So,

4ab² : 5a²b : : 5a²b : c

4ab² * c = ( 5a²b )²

4ab² * c =  25 a⁴b²

c = 25 a⁴b² / 4ab²

c = $\frac{25}{4} a^{3}$

Hence,

c = $\frac{25}{4} a^{3}$