Finding the Third Proportional to 72 and 180
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Solution
The third proportional to 72 and 180 is: 450
Step by Step Solution
- Step 1: Write the proportion equation
72 : 180 = 180 : x - Step 2: Convert to fraction form
72/180 = 180/x - Step 3: Cross multiply
72x = 180 × 180 - Step 4: Simplify right side
72x = 32,400 - Step 5: Solve for x
x = 32,400/72 - Step 6: Final answer
x = 450
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Why These Related Problems?
These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.