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Finding the Third Proportional to 54,264 and 81,339

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Solution

The third proportional to 54,264 and 81,339 is: 121,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,264 : 81,339 = 81,339 : x
  2. Step 2: Convert to fraction form
    54,264/81,339 = 81,339/x
  3. Step 3: Cross multiply
    54,264x = 81,339 × 81,339
  4. Step 4: Simplify right side
    54,264x = 6,616,032,921
  5. Step 5: Solve for x
    x = 6,616,032,921/54,264
  6. Step 6: Final answer
    x = 121,923.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.