Finding the Third Proportional to 676 and 811
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Solution
The third proportional to 676 and 811 is: 972.96
Step by Step Solution
- Step 1: Write the proportion equation
676 : 811 = 811 : x - Step 2: Convert to fraction form
676/811 = 811/x - Step 3: Cross multiply
676x = 811 × 811 - Step 4: Simplify right side
676x = 657,721 - Step 5: Solve for x
x = 657,721/676 - Step 6: Final answer
x = 972.96
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Why These Related Problems?
These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.