Finding the Third Proportional to 72.50 and 77.50
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Solution
The third proportional to 72.50 and 77.50 is: 82.84
Step by Step Solution
- Step 1: Write the proportion equation
72.50 : 77.50 = 77.50 : x - Step 2: Convert to fraction form
72.50/77.50 = 77.50/x - Step 3: Cross multiply
72.50x = 77.50 × 77.50 - Step 4: Simplify right side
72.50x = 6,006.25 - Step 5: Solve for x
x = 6,006.25/72.50 - Step 6: Final answer
x = 82.84
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Why These Related Problems?
These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.