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Finding the Third Proportional to 83,902 and 129,623

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Solution

The third proportional to 83,902 and 129,623 is: 200,258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,902 : 129,623 = 129,623 : x
  2. Step 2: Convert to fraction form
    83,902/129,623 = 129,623/x
  3. Step 3: Cross multiply
    83,902x = 129,623 × 129,623
  4. Step 4: Simplify right side
    83,902x = 16,802,122,129
  5. Step 5: Solve for x
    x = 16,802,122,129/83,902
  6. Step 6: Final answer
    x = 200,258.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.