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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 |
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Answer» -step EXPLANATION:LET the 3rd PROPORTION is X(i)2:8=8:x2/8=8/x2x=64x=64/2=32(ii)2:5=5:x2/5=5/x2x=25x=25/2=12.5(iii)5:2=2:x5/2=2/x5x=4x=4/5(iv)3/7:7/3=7/3:x3/7.x=49/9x=49×7/9×3=343/27(v)2/3:3/8=3/8:x2/3.x=9/64x=9×3/64×2=27/128(vi)a:b=b:xa/b=b/xax=b^2x=b^2/a |
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