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Finding the Third Proportional to 63.38 and 86.44

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Solution

The third proportional to 63.38 and 86.44 is: 117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.38 : 86.44 = 86.44 : x
  2. Step 2: Convert to fraction form
    63.38/86.44 = 86.44/x
  3. Step 3: Cross multiply
    63.38x = 86.44 × 86.44
  4. Step 4: Simplify right side
    63.38x = 7,471.44
  5. Step 5: Solve for x
    x = 7,471.44/63.38
  6. Step 6: Final answer
    x = 117.89

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.