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Finding the Third Proportional to 87,810 and 188,958

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Solution

The third proportional to 87,810 and 188,958 is: 406,617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,810 : 188,958 = 188,958 : x
  2. Step 2: Convert to fraction form
    87,810/188,958 = 188,958/x
  3. Step 3: Cross multiply
    87,810x = 188,958 × 188,958
  4. Step 4: Simplify right side
    87,810x = 35,705,125,764
  5. Step 5: Solve for x
    x = 35,705,125,764/87,810
  6. Step 6: Final answer
    x = 406,617.99

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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.