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Finding the Third Proportional to 198,692 and 387,394

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Solution

The third proportional to 198,692 and 387,394 is: 755,310.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,692 : 387,394 = 387,394 : x
  2. Step 2: Convert to fraction form
    198,692/387,394 = 387,394/x
  3. Step 3: Cross multiply
    198,692x = 387,394 × 387,394
  4. Step 4: Simplify right side
    198,692x = 150,074,111,236
  5. Step 5: Solve for x
    x = 150,074,111,236/198,692
  6. Step 6: Final answer
    x = 755,310.29

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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.