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Finding the Third Proportional to 61.57 and 133.97

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Solution

The third proportional to 61.57 and 133.97 is: 291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.57 : 133.97 = 133.97 : x
  2. Step 2: Convert to fraction form
    61.57/133.97 = 133.97/x
  3. Step 3: Cross multiply
    61.57x = 133.97 × 133.97
  4. Step 4: Simplify right side
    61.57x = 17,948.41
  5. Step 5: Solve for x
    x = 17,948.41/61.57
  6. Step 6: Final answer
    x = 291.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.