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Finding the Third Proportional to 138,876 and 207,402

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Solution

The third proportional to 138,876 and 207,402 is: 309,740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,876 : 207,402 = 207,402 : x
  2. Step 2: Convert to fraction form
    138,876/207,402 = 207,402/x
  3. Step 3: Cross multiply
    138,876x = 207,402 × 207,402
  4. Step 4: Simplify right side
    138,876x = 43,015,589,604
  5. Step 5: Solve for x
    x = 43,015,589,604/138,876
  6. Step 6: Final answer
    x = 309,740.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.