Finding the Third Proportional to 713 and 830
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Solution
The third proportional to 713 and 830 is: 966.20
Step by Step Solution
- Step 1: Write the proportion equation
713 : 830 = 830 : x - Step 2: Convert to fraction form
713/830 = 830/x - Step 3: Cross multiply
713x = 830 × 830 - Step 4: Simplify right side
713x = 688,900 - Step 5: Solve for x
x = 688,900/713 - Step 6: Final answer
x = 966.20
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Why These Related Problems?
These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.