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Finding the Third Proportional to 83,406 and 122,902

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Solution

The third proportional to 83,406 and 122,902 is: 181,100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,406 : 122,902 = 122,902 : x
  2. Step 2: Convert to fraction form
    83,406/122,902 = 122,902/x
  3. Step 3: Cross multiply
    83,406x = 122,902 × 122,902
  4. Step 4: Simplify right side
    83,406x = 15,104,901,604
  5. Step 5: Solve for x
    x = 15,104,901,604/83,406
  6. Step 6: Final answer
    x = 181,100.90

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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.