Finding the Third Proportional to 71 and 80.75
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Solution
The third proportional to 71 and 80.75 is: 91.84
Step by Step Solution
- Step 1: Write the proportion equation
71 : 80.75 = 80.75 : x - Step 2: Convert to fraction form
71/80.75 = 80.75/x - Step 3: Cross multiply
71x = 80.75 × 80.75 - Step 4: Simplify right side
71x = 6,520.56 - Step 5: Solve for x
x = 6,520.56/71 - Step 6: Final answer
x = 91.84
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Why These Related Problems?
These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.