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Finding the Third Proportional to 84,393 and 123,339

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Solution

The third proportional to 84,393 and 123,339 is: 180,257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,393 : 123,339 = 123,339 : x
  2. Step 2: Convert to fraction form
    84,393/123,339 = 123,339/x
  3. Step 3: Cross multiply
    84,393x = 123,339 × 123,339
  4. Step 4: Simplify right side
    84,393x = 15,212,508,921
  5. Step 5: Solve for x
    x = 15,212,508,921/84,393
  6. Step 6: Final answer
    x = 180,257.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.