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Finding the Third Proportional to 87,777 and 188,876

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Solution

The third proportional to 87,777 and 188,876 is: 406,417.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,777 : 188,876 = 188,876 : x
  2. Step 2: Convert to fraction form
    87,777/188,876 = 188,876/x
  3. Step 3: Cross multiply
    87,777x = 188,876 × 188,876
  4. Step 4: Simplify right side
    87,777x = 35,674,143,376
  5. Step 5: Solve for x
    x = 35,674,143,376/87,777
  6. Step 6: Final answer
    x = 406,417.89

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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.