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Finding the Third Proportional to 87,813 and 188,939

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Solution

The third proportional to 87,813 and 188,939 is: 406,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,813 : 188,939 = 188,939 : x
  2. Step 2: Convert to fraction form
    87,813/188,939 = 188,939/x
  3. Step 3: Cross multiply
    87,813x = 188,939 × 188,939
  4. Step 4: Simplify right side
    87,813x = 35,697,945,721
  5. Step 5: Solve for x
    x = 35,697,945,721/87,813
  6. Step 6: Final answer
    x = 406,522.33

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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.