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Finding the Third Proportional to 62.96 and 129.87

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Solution

The third proportional to 62.96 and 129.87 is: 267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.96 : 129.87 = 129.87 : x
  2. Step 2: Convert to fraction form
    62.96/129.87 = 129.87/x
  3. Step 3: Cross multiply
    62.96x = 129.87 × 129.87
  4. Step 4: Simplify right side
    62.96x = 16,865.49
  5. Step 5: Solve for x
    x = 16,865.49/62.96
  6. Step 6: Final answer
    x = 267.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.