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Finding the Third Proportional to 138,669 and 298,713

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Solution

The third proportional to 138,669 and 298,713 is: 643,470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,669 : 298,713 = 298,713 : x
  2. Step 2: Convert to fraction form
    138,669/298,713 = 298,713/x
  3. Step 3: Cross multiply
    138,669x = 298,713 × 298,713
  4. Step 4: Simplify right side
    138,669x = 89,229,456,369
  5. Step 5: Solve for x
    x = 89,229,456,369/138,669
  6. Step 6: Final answer
    x = 643,470.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.