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Finding the Third Proportional to 87,165 and 188,998

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Solution

The third proportional to 87,165 and 188,998 is: 409,800.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,165 : 188,998 = 188,998 : x
  2. Step 2: Convert to fraction form
    87,165/188,998 = 188,998/x
  3. Step 3: Cross multiply
    87,165x = 188,998 × 188,998
  4. Step 4: Simplify right side
    87,165x = 35,720,244,004
  5. Step 5: Solve for x
    x = 35,720,244,004/87,165
  6. Step 6: Final answer
    x = 409,800.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.