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Finding the Third Proportional to 138,571 and 297,859

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Solution

The third proportional to 138,571 and 297,859 is: 640,249.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,571 : 297,859 = 297,859 : x
  2. Step 2: Convert to fraction form
    138,571/297,859 = 297,859/x
  3. Step 3: Cross multiply
    138,571x = 297,859 × 297,859
  4. Step 4: Simplify right side
    138,571x = 88,719,983,881
  5. Step 5: Solve for x
    x = 88,719,983,881/138,571
  6. Step 6: Final answer
    x = 640,249.29

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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.