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Finding the Third Proportional to 702.66 and 1,031.20

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Solution

The third proportional to 702.66 and 1,031.20 is: 1,513.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.66 : 1,031.20 = 1,031.20 : x
  2. Step 2: Convert to fraction form
    702.66/1,031.20 = 1,031.20/x
  3. Step 3: Cross multiply
    702.66x = 1,031.20 × 1,031.20
  4. Step 4: Simplify right side
    702.66x = 1,063,379.89
  5. Step 5: Solve for x
    x = 1,063,379.89/702.66
  6. Step 6: Final answer
    x = 1,513.37

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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.