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Finding the Third Proportional to 138,731 and 207,716

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Solution

The third proportional to 138,731 and 207,716 is: 311,004.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,731 : 207,716 = 207,716 : x
  2. Step 2: Convert to fraction form
    138,731/207,716 = 207,716/x
  3. Step 3: Cross multiply
    138,731x = 207,716 × 207,716
  4. Step 4: Simplify right side
    138,731x = 43,145,936,656
  5. Step 5: Solve for x
    x = 43,145,936,656/138,731
  6. Step 6: Final answer
    x = 311,004.29

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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.