Solving the Proportion Math

Introduction of solving the proportion math:

A part considered in relation to its whole. Statement of equality between 2 or more ratios like a/b=c/d. When we multiply we get ad=bc. The two ratios are equivalent. And we can say, two set of numbers are proportional, if one set is a constant times the other. Here we are going to see solving proportions with variable.I like to share this Perpendicular Lines Calculator with you all through my article.

Example Problems of Solving Proportion in Math:

Example 1:

Given:  `(45)/(h) = (35)/(21)`

Solution:

Step 1: We need to find h value.

Step 2: Here we are using cross multiplication method to solve h.

Step 3: So, when we cross multiply we get 945 = 35h

Step 4: Now we divide using 35 on both the sides.

Step 5: The value of h=27.

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Example 2:

Given:  `(15)/(t) = (20)/(44)`

Solution:

Step 1:  From this question we need to find t value

Step 2: Using cross multiplication we get, 660= 20t.

Step 3: Now we divide using 20 on both the sides

Step 4:  `(660)/(20)=(20t)/20`

Step 5: t = 33.

Example 3:

Given:  `(21)/(9) = (42)/(g)`

Solution:

Step 1:  From this question we need to find g value.

Step 2: Using cross multiplication we get, 21g = 378.

Step 3: Now we divide using 21 on both the sides

Step 4: `(21g)/(21) = (378)/(21)`

Step 5: 18 = g.

These are the simple examples of solving proportion in math.

Solving Word Problem Using Proportions in Math:

Example 1:

Sam read 40 pages of a book in 50 minutes. How many pages should he be able to read in 80 minutes?

Solution:

Step 1: We know that Sam read 40 pages of book in 50 minutes.

Step 2: And we need to find how many pages Sam read within 80 minutes. Let us assume the unknown number is x.

Step 5: So,  `(40)/(x) = (50)/80`

Step 6: Using cross multiplication we get, 3200 = 50x.

Step 7: Divide using 50 on both the sides. `(3200)/(50)=(50x)/(50)` .

Step 8: 64 =x. Therefore Sam read 64 pages within 80 minutes.



Example 2:

A car travels 48 miles in 20 minutes. And how many miles travel the car within 30 minutes?

Step 1: We know that a car travels 48 miles in 20 minutes.

Step 2: And we need to find how many miles travel the car in 30 minutes. Let us consider the unknown number is x.

Step 5: So,  `(48)/(20) = (x)/(30)`

Step 6: Using cross multiplication we get, 1440 = 20x.

Step 7: Divide using 50 on both the sides.  `(1440)/(20) = (20x)/(20)` .

Step 8: 72 =x. Therefore a car travels 72 miles in 30 minutes.

These are the example word problems of solving proportions in math.