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Finding the Third Proportional to 198,614 and 425,654

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Solution

The third proportional to 198,614 and 425,654 is: 912,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,614 : 425,654 = 425,654 : x
  2. Step 2: Convert to fraction form
    198,614/425,654 = 425,654/x
  3. Step 3: Cross multiply
    198,614x = 425,654 × 425,654
  4. Step 4: Simplify right side
    198,614x = 181,181,327,716
  5. Step 5: Solve for x
    x = 181,181,327,716/198,614
  6. Step 6: Final answer
    x = 912,228.38

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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.