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Answer:
(i) Consider x as the third proportional to 5, 10 5: 10 :: 10: x It can be written as 5 × x = 10 × 10 x = (10 × 10)/ 5 = 20 Hence, the third proportional to 5, 10 is 20. (ii) Consider x as the third proportional to 0.24, 0.6 0.24: 0.6 :: 0.6: x It can be written as 0.24 × x = 0.6 × 0.6 x = (0.6 × 0.6)/ 0.24 = 1.5 Hence, the third proportional to 0.24, 0.6 is 1.5. (iii) Consider x as the third proportional to Rs. 3 and Rs. 12 3: 12 :: 12: x It can be written as 3 × x = 12 × 12 x = (12 × 12)/ 3 = 48 Hence, the third proportional to Rs. 3 and Rs. 12 is Rs. 48 (iv) Consider x as the third proportional to 5 ¼ and 7 5 ¼: 7 :: 7: x It can be written as 21/4 × x = 7 × 7 x = (7 × 7 × 4)/ 21 = 28/3 = 9 1/3 Hence, the third proportional to 5 ¼ and 7 is 9 1/3.
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