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Finding the Third Proportional to 138,729 and 207,713

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Solution

The third proportional to 138,729 and 207,713 is: 310,999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,729 : 207,713 = 207,713 : x
  2. Step 2: Convert to fraction form
    138,729/207,713 = 207,713/x
  3. Step 3: Cross multiply
    138,729x = 207,713 × 207,713
  4. Step 4: Simplify right side
    138,729x = 43,144,690,369
  5. Step 5: Solve for x
    x = 43,144,690,369/138,729
  6. Step 6: Final answer
    x = 310,999.79

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