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
Answers
Answered by
8
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
Answered by
3
Answer:
answers are given in the attachment
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