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Finding the Third Proportional to 138,226 and 207,866

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Solution

The third proportional to 138,226 and 207,866 is: 312,591.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,226 : 207,866 = 207,866 : x
  2. Step 2: Convert to fraction form
    138,226/207,866 = 207,866/x
  3. Step 3: Cross multiply
    138,226x = 207,866 × 207,866
  4. Step 4: Simplify right side
    138,226x = 43,208,273,956
  5. Step 5: Solve for x
    x = 43,208,273,956/138,226
  6. Step 6: Final answer
    x = 312,591.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.