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Finding the Third Proportional to 54,138 and 73,749

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Solution

The third proportional to 54,138 and 73,749 is: 100,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,138 : 73,749 = 73,749 : x
  2. Step 2: Convert to fraction form
    54,138/73,749 = 73,749/x
  3. Step 3: Cross multiply
    54,138x = 73,749 × 73,749
  4. Step 4: Simplify right side
    54,138x = 5,438,915,001
  5. Step 5: Solve for x
    x = 5,438,915,001/54,138
  6. Step 6: Final answer
    x = 100,463.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.