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Finding the Third Proportional to 138,758 and 206,601

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Solution

The third proportional to 138,758 and 206,601 is: 307,614.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,758 : 206,601 = 206,601 : x
  2. Step 2: Convert to fraction form
    138,758/206,601 = 206,601/x
  3. Step 3: Cross multiply
    138,758x = 206,601 × 206,601
  4. Step 4: Simplify right side
    138,758x = 42,683,973,201
  5. Step 5: Solve for x
    x = 42,683,973,201/138,758
  6. Step 6: Final answer
    x = 307,614.50

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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.