Question

how to find the mean proportional of 1/25 and 4/49

Answer 1

Concept used :

if b is the mean proportional of a and c

then a : b = b : c

=> b² = a × c

=> b = √(ac)

Solution :

Let mean proportional be x ,

then ,

x² = 1/25 × 4/49

=> x =  √(1/25 × 4/49)

=> x = 1/5 × 2/7 = 2/35

Answer :

2/35