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Finding the Third Proportional to 702.70 and 1,031.27

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Solution

The third proportional to 702.70 and 1,031.27 is: 1,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.70 : 1,031.27 = 1,031.27 : x
  2. Step 2: Convert to fraction form
    702.70/1,031.27 = 1,031.27/x
  3. Step 3: Cross multiply
    702.70x = 1,031.27 × 1,031.27
  4. Step 4: Simplify right side
    702.70x = 1,063,524.90
  5. Step 5: Solve for x
    x = 1,063,524.90/702.70
  6. Step 6: Final answer
    x = 1,513.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.