-2 deepaksoniGuru Asked: March 18, 20212021-03-18T10:55:17+05:30 2021-03-18T10:55:17+05:30In: ICSE Find the third proportional to (i) 5, 10 (ii) 0.24, 0.6 (iii) Rs. 3, Rs. 12 (iv) 5 ¼ and 7. -2 This is an important ques from the Book ML Aggarwal class 10th,, chapter – 7, ratio and proportion. In this question we have been given the two numbers and we have to find the third proportional to them. Question 3, 7.2 ml aggarwal solutionratio and proportion Share Facebook 1 Answer Voted Oldest Recent AAREKH Guru 2021-03-20T11:59:47+05:30Added an answer on March 20, 2021 at 11:59 am Solution: (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. 0 Reply Share Share Share on Facebook Share on Twitter Share on LinkedIn Share on WhatsApp Leave an answerLeave an answerCancel reply Featured image Select file Browse Add a Video to describe the problem better. Video type Youtube Vimeo Dailymotion Facebook Choose from here the video type. Video ID Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs". Click on image to update the captcha. Save my name, email, and website in this browser for the next time I comment. Related Questions Question 16. In the given figure, chords AB and CD of the circle are produced to meet at ... Question 15. (a) Prove that a cyclic parallelogram is a rectangle. (b) Prove that a cyclic rhombus is ... Question 14. In the given figure, ABC is an isosceles triangle in which AB = AC and circle ... Ques 13(b) In the figure (ii) given below, SP is the bisector of ∠RPT and PQRS is a ... Question 13. (a) In the figure (i) given below, ED and BC are two parallel chords of the ...

Solution:(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.