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Finding the Third Proportional to 87,359 and 188,999

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Solution

The third proportional to 87,359 and 188,999 is: 408,894.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,359 : 188,999 = 188,999 : x
  2. Step 2: Convert to fraction form
    87,359/188,999 = 188,999/x
  3. Step 3: Cross multiply
    87,359x = 188,999 × 188,999
  4. Step 4: Simplify right side
    87,359x = 35,720,622,001
  5. Step 5: Solve for x
    x = 35,720,622,001/87,359
  6. Step 6: Final answer
    x = 408,894.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.