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Finding the Third Proportional to 61.38 and 87.96

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Solution

The third proportional to 61.38 and 87.96 is: 126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.38 : 87.96 = 87.96 : x
  2. Step 2: Convert to fraction form
    61.38/87.96 = 87.96/x
  3. Step 3: Cross multiply
    61.38x = 87.96 × 87.96
  4. Step 4: Simplify right side
    61.38x = 7,737.13
  5. Step 5: Solve for x
    x = 7,737.13/61.38
  6. Step 6: Final answer
    x = 126.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.