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Finding the Third Proportional to 83,404 and 122,908

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Solution

The third proportional to 83,404 and 122,908 is: 181,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,404 : 122,908 = 122,908 : x
  2. Step 2: Convert to fraction form
    83,404/122,908 = 122,908/x
  3. Step 3: Cross multiply
    83,404x = 122,908 × 122,908
  4. Step 4: Simplify right side
    83,404x = 15,106,376,464
  5. Step 5: Solve for x
    x = 15,106,376,464/83,404
  6. Step 6: Final answer
    x = 181,122.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.