We at **ask-math **believe that educational material should be free for everyone. Please use the content of this website for in-depth understanding of the concepts. Additionally, we have created and posted videos on our youtube.

**We also offer One to One / Group Tutoring sessions / Homework help for Mathematics from Grade 4th to 12th for algebra, geometry, trigonometry, pre-calculus, and calculus for US, UK, Europe, South east Asia and UAE students.**

**Affiliations with Schools & Educational institutions are also welcome.**

Please reach out to us on [email protected] / Whatsapp +919998367796 / Skype id: anitagovilkar.abhijit

We will be happy to post videos as per your requirements also. Do write to us.

Thus, if a, b and c are in continued-proportion, then

a,b,b,c are in proportion, that means

⇒ Product of extremes = Product of means

⇒ a x c = b x b

⇒ a x c = b

Continued-proportion is also known as

If ‘b’ is a mean proportional between a and c then b

1) Find the mean proportional between 9 and 25.

Let x be the mean proportional between 9 and 25.

⇒ x

⇒ x

⇒ x = 15

Hence, the mean proportional between 9 and 25 is 15.

-------------------------------------------------------------------------

2) If 3, x , 12 are in continued-proportion, find the value of x.

Since 3,x,12 are in continued-proportion,

3,x,x,12 are in proportion.

Product of extremes = Product of means

⇒ 3 x 12 = x . x

⇒ 36 = x

⇒ x = 6.

-------------------------------------------------------------------------

3) If 40, x, x, 40 are in proportion, then find the value of x.

Product of means = product of extremes

x. x = 40 x 40

⇒ x

⇒ x = 40

-------------------------------------------------------------------------

4) If we divide 20 between Jacob and Ariel in the ratio 3 : 2, how much will each of them get? what number is a mean proportional between those parts?

Sum of the two terms of the ratio (3 : 2) =3 + 2 = 5

Jacob's share = (3/5) x 20 = 12

Ariel's share =(2/5) x 20 = 8

Mean proportion of 12 and 8 is √(12 x 8)

⇒ √(96)

⇒ √(16 x 6)

⇒ 4√6

• Ratio and Proportion

• Ratio in the simplest form

• Comparison of ratios

• Equivalent ratios

• Proportion

• Continued Proportion

Home Page

Russia-Ukraine crisis update - 3rd Mar 2022

The UN General assembly voted at an emergency session to demand an immediate halt to Moscow's attack on Ukraine and withdrawal of Russian troops.

GMAT

GRE

1st Grade

2nd Grade

3rd Grade

4th Grade

5th Grade

6th Grade

7th grade math

8th grade math

9th grade math

10th grade math

11th grade math

12th grade math

Precalculus

Worksheets

Chapter wise Test

MCQ's

Math Dictionary

Graph Dictionary

Multiplicative tables

Math Teasers

NTSE

Chinese Numbers

CBSE Sample Papers