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Finding the Third Proportional to 54,940 and 83,463

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Solution

The third proportional to 54,940 and 83,463 is: 126,794.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,940 : 83,463 = 83,463 : x
  2. Step 2: Convert to fraction form
    54,940/83,463 = 83,463/x
  3. Step 3: Cross multiply
    54,940x = 83,463 × 83,463
  4. Step 4: Simplify right side
    54,940x = 6,966,072,369
  5. Step 5: Solve for x
    x = 6,966,072,369/54,940
  6. Step 6: Final answer
    x = 126,794.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.