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Title: Ratio & Proportion

Grade: 8-a Lesson: S4-L8

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Find the third proportion to 10 , 5.
2	Step	Let us take the third proportion is	\$x\$
3	Step	We can write the above numbers in the proportional form (a : b :: b : c)	\$10 : 5::5 : x\$
4	Hint	\$a/b::b/c\$
5	Step	Here a = 10 , b = 5 , c = x
6	Step	Let us find the x value	x = \$ (5 \times 5)/10\$ x = \$2.5\$
7	SumUp	Can you summarize what you’ve understood in the above steps?
8	Choice.A	This is the correct third proportion because it satisfies the proportion	\$2.5\$
9	Choice.B	This is incorrect because it doesn’t satisfy the proportionality	\$1.5\$
10	Choice.C	This is incorrect because it is equal to the second term (b), not the third proportion	5
11	Choice.D	This is incorrect because it is equal to the first term (a), not the third proportion	10
12	Answer	Option	A
13	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Find the third proportion to 10 , 5.

Step

Let us take the third proportion is

\$x\$

Step

We can write the above numbers in the proportional form
(a : b :: b : c)

\$10 : 5::5 : x\$

Hint

\$a/b::b/c\$

Step

Here a = 10 , b = 5 , c = x

Step

Let us find the x value

x = \$ (5 \times 5)/10\$

x = \$2.5\$

SumUp

Can you summarize what you’ve understood in the above steps?

Choice.A

This is the correct third proportion because it satisfies the proportion

\$2.5\$

Choice.B

This is incorrect because it doesn’t satisfy the proportionality

\$1.5\$

Choice.C

This is incorrect because it is equal to the second term (b), not the third proportion

Choice.D

This is incorrect because it is equal to the first term (a), not the third proportion

Answer

Option

SumUp

Can you summarize what you’ve understood in the above steps?