Question

6. Find the third proportional to each of the following sets of numbers.
(i) 2, 8
(ii) 2,5
(iii) 5, 2
(iv)3/7 ,7/3
(v)2/3,3/8
(vi) a, b​

Answer 1

Step-by-step explanation:

let the 3rd proportion is x

(i)2:8=8:x

2/8=8/x

2x=64

x=64/2=32

(ii)2:5=5:x

2/5=5/x

2x=25

x=25/2=12.5

(iii)5:2=2:x

5/2=2/x

5x=4

x=4/5

(iv)3/7:7/3=7/3:x

3/7.x=49/9

x=49×7/9×3=343/27

(v)2/3:3/8=3/8:x

2/3.x=9/64

x=9×3/64×2=27/128

(vi)a:b=b:x

a/b=b/x

ax=b^2

x=b^2/a

Answer 2

Answer:

answers are given in the attachment