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Finding the Third Proportional to 61.27 and 87.09

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Solution

The third proportional to 61.27 and 87.09 is: 123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.27 : 87.09 = 87.09 : x
  2. Step 2: Convert to fraction form
    61.27/87.09 = 87.09/x
  3. Step 3: Cross multiply
    61.27x = 87.09 × 87.09
  4. Step 4: Simplify right side
    61.27x = 7,585.32
  5. Step 5: Solve for x
    x = 7,585.32/61.27
  6. Step 6: Final answer
    x = 123.81

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.