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Finding the Third Proportional to 87,813 and 207,198

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Solution

The third proportional to 87,813 and 207,198 is: 488,891.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,813 : 207,198 = 207,198 : x
  2. Step 2: Convert to fraction form
    87,813/207,198 = 207,198/x
  3. Step 3: Cross multiply
    87,813x = 207,198 × 207,198
  4. Step 4: Simplify right side
    87,813x = 42,931,011,204
  5. Step 5: Solve for x
    x = 42,931,011,204/87,813
  6. Step 6: Final answer
    x = 488,891.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.