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Finding the Third Proportional to 138,885 and 207,414

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Solution

The third proportional to 138,885 and 207,414 is: 309,756.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,885 : 207,414 = 207,414 : x
  2. Step 2: Convert to fraction form
    138,885/207,414 = 207,414/x
  3. Step 3: Cross multiply
    138,885x = 207,414 × 207,414
  4. Step 4: Simplify right side
    138,885x = 43,020,567,396
  5. Step 5: Solve for x
    x = 43,020,567,396/138,885
  6. Step 6: Final answer
    x = 309,756.76

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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.