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Finding the Third Proportional to 87,338 and 187,128

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Solution

The third proportional to 87,338 and 187,128 is: 400,935.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,338 : 187,128 = 187,128 : x
  2. Step 2: Convert to fraction form
    87,338/187,128 = 187,128/x
  3. Step 3: Cross multiply
    87,338x = 187,128 × 187,128
  4. Step 4: Simplify right side
    87,338x = 35,016,888,384
  5. Step 5: Solve for x
    x = 35,016,888,384/87,338
  6. Step 6: Final answer
    x = 400,935.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.