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Finding the Third Proportional to 87,198 and 127,687

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Solution

The third proportional to 87,198 and 127,687 is: 186,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,198 : 127,687 = 127,687 : x
  2. Step 2: Convert to fraction form
    87,198/127,687 = 127,687/x
  3. Step 3: Cross multiply
    87,198x = 127,687 × 127,687
  4. Step 4: Simplify right side
    87,198x = 16,303,969,969
  5. Step 5: Solve for x
    x = 16,303,969,969/87,198
  6. Step 6: Final answer
    x = 186,976.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.