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Finding the Third Proportional to 47 and 62.38

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Solution

The third proportional to 47 and 62.38 is: 82.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47 : 62.38 = 62.38 : x
  2. Step 2: Convert to fraction form
    47/62.38 = 62.38/x
  3. Step 3: Cross multiply
    47x = 62.38 × 62.38
  4. Step 4: Simplify right side
    47x = 3,890.64
  5. Step 5: Solve for x
    x = 3,890.64/47
  6. Step 6: Final answer
    x = 82.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.