Question

3. Find the mean proportion between 4 and 24.​

Answer 1

Answer:

10

Step-by-step explanation:

u take it as X and solve it

Answer 2

Answer:

Step-by-step explanation:

Since 4 , x , and 24 are in continued proportion then

6 : x : 1

if a : b  = b : c  i.e. a/b = b/c i.e. b² = ac

if a , b , c are in continuous proportion then the middle term b is called the mean proportion between 'a' and 'c' , 'a' is the first proportion and 'c' is the third proportion

Thus , if b is the mean proportion between 'a' and 'c'

then b² = ac i.e. b = √(ac)

⇒ x² = 4 × 24

⇒ x = √96

Hence the middle term = 9.7979..