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Finding the Third Proportional to 62.87 and 97.15

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Solution

The third proportional to 62.87 and 97.15 is: 150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.87 : 97.15 = 97.15 : x
  2. Step 2: Convert to fraction form
    62.87/97.15 = 97.15/x
  3. Step 3: Cross multiply
    62.87x = 97.15 × 97.15
  4. Step 4: Simplify right side
    62.87x = 9,437.46
  5. Step 5: Solve for x
    x = 9,437.46/62.87
  6. Step 6: Final answer
    x = 150.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.