Solving Proportions
Solving Proportions is a skill on Pengi from Lesson 34: Proportions and Ratio Word Problems in Saxon Math, Course 3.
Key Concepts
Property To find a missing number in a proportion, use a variable and find the multiplier between the terms. In the proportion $$\frac{2}{8} = \frac{6}{x}$$, you can solve for the unknown value, x.
Examples To solve $$\frac{24}{m} = \frac{8}{5}$$, notice that $8 \times 3 = 24$. Apply this to the denominator: $5 \times 3 = 15$, so $m=15$. To solve $$\frac{4}{5} = \frac{16}{y}$$, see that $4 \times 4 = 16$. Apply this to the denominator: $5 \times 4 = 20$, so $y=20$.
Explanation Put on your detective hat! When a number is missing from a proportion, find the relationship between the numbers you do know. If you see $2 \times 3 = 6$, you can apply that same secret rule to the other pair of numbers. It’s a simple trick to solve the mystery every time!
Common Questions
What is Solving Proportions?
Solving Proportions is a skill on Pengi from Lesson 34: Proportions and Ratio Word Problems in Saxon Math, Course 3.
What grade level is Solving Proportions for?
Solving Proportions is part of the Grade 8 Math curriculum, covered in Saxon Math, Course 3. It is designed for students studying Math at the Grade 8 level.
How can I learn Solving Proportions?
Pengi offers an AI-guided lesson for Solving Proportions that walks you through the key concepts step by step. The lesson is aligned to Saxon Math, Course 3 so the content matches what you see in class.
How do I practice Solving Proportions?
After learning the concept, use the Practice mode to work through targeted exercises on Solving Proportions. The AI adapts to your level and gives feedback on each answer so you can identify and fix mistakes.
Which textbook covers Solving Proportions?
Solving Proportions is covered in Saxon Math, Course 3, specifically in Chapter 4: Algebra • Measurement under Lesson 34: Proportions and Ratio Word Problems. Pengi's lesson is aligned directly to this textbook so you can follow along with your class.
Is Solving Proportions free to study on Pengi?
Yes, the core Learn and Practice modes for Solving Proportions are available for free on Pengi. No credit card is required to start studying.