Name:_______________
Date: ____________
Class: ___________
Solving Proportion Notes
Proportions can also be used to solve all kinds of problems.
Examples – Solve for x in each proportion below:
Side to Side Method
5
3
=
Up and Down Method
𝑥
6
2
12
x=
=
Cross Product Method
7
𝑥
𝑥
15
x=
Remember, the arrow always points ___________
the variable!
=
Let’s do
some
Algebra!
8
20
15 • 8 = 20x
=
=
Solving Proportions – Practice Problems:
Solve using side to side method:
a.
2
6
=
𝑥
24
b.
𝑛
36
=
5
12
c.
21
27
=
7
𝑔
24
8
=
𝑚
12
c.
ℎ
35
=
3
15
𝑛
15
=
8
10
c.
4
6
Solve using up and down method:
a.
2
𝑦
=
3
12
b.
Solve using cross products:
a.
6
9
=
10
𝑥
b.
=
6
𝑔
12
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Name:_______________
Date: ____________
Proportion Poetry
Class: ___________
2 𝑑𝑜𝑔𝑠
3 cats
A ratio compares,
One thing to another,
A proportion is two ratios,
Set equal to each other.
2
4
=
3
6
3 • 4 = 12
4
=
3
6
2 • 6 = 12
But you can make them simple,
By just cross-multiplying.
Proportion!
Checking for proportions,
2
Can be mystifying.
Variables in proportions,
Make you want to solve „em.
Cause you can use three methods,
To solve each and every problem!
•2
5
3
=
𝑥
6
•6
2
12
•2
X = 10
X = 15
=
2.5
𝑥
•6
𝑥
15
=
8
20
Let’s do
some
Algebra!
120 = 20x
20 20
6=x
14
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