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Finding the Third Proportional to 198,886 and 387,692

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Solution

The third proportional to 198,886 and 387,692 is: 755,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,886 : 387,692 = 387,692 : x
  2. Step 2: Convert to fraction form
    198,886/387,692 = 387,692/x
  3. Step 3: Cross multiply
    198,886x = 387,692 × 387,692
  4. Step 4: Simplify right side
    198,886x = 150,305,086,864
  5. Step 5: Solve for x
    x = 150,305,086,864/198,886
  6. Step 6: Final answer
    x = 755,734.88

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.