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Finding the Third Proportional to 38,742 and 54,555

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Solution

The third proportional to 38,742 and 54,555 is: 76,822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,742 : 54,555 = 54,555 : x
  2. Step 2: Convert to fraction form
    38,742/54,555 = 54,555/x
  3. Step 3: Cross multiply
    38,742x = 54,555 × 54,555
  4. Step 4: Simplify right side
    38,742x = 2,976,248,025
  5. Step 5: Solve for x
    x = 2,976,248,025/38,742
  6. Step 6: Final answer
    x = 76,822.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.