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Finding the Third Proportional to 87,775 and 188,872

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Solution

The third proportional to 87,775 and 188,872 is: 406,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,775 : 188,872 = 188,872 : x
  2. Step 2: Convert to fraction form
    87,775/188,872 = 188,872/x
  3. Step 3: Cross multiply
    87,775x = 188,872 × 188,872
  4. Step 4: Simplify right side
    87,775x = 35,672,632,384
  5. Step 5: Solve for x
    x = 35,672,632,384/87,775
  6. Step 6: Final answer
    x = 406,409.94

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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.