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Finding the Third Proportional to 187,992 and 396,940

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Solution

The third proportional to 187,992 and 396,940 is: 838,128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,992 : 396,940 = 396,940 : x
  2. Step 2: Convert to fraction form
    187,992/396,940 = 396,940/x
  3. Step 3: Cross multiply
    187,992x = 396,940 × 396,940
  4. Step 4: Simplify right side
    187,992x = 157,561,363,600
  5. Step 5: Solve for x
    x = 157,561,363,600/187,992
  6. Step 6: Final answer
    x = 838,128.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.