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Finding the Third Proportional to 62.78 and 122.97

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Solution

The third proportional to 62.78 and 122.97 is: 240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.78 : 122.97 = 122.97 : x
  2. Step 2: Convert to fraction form
    62.78/122.97 = 122.97/x
  3. Step 3: Cross multiply
    62.78x = 122.97 × 122.97
  4. Step 4: Simplify right side
    62.78x = 15,121.31
  5. Step 5: Solve for x
    x = 15,121.31/62.78
  6. Step 6: Final answer
    x = 240.86

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.