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Finding the Third Proportional to 198,687 and 425,782

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Solution

The third proportional to 198,687 and 425,782 is: 912,441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,687 : 425,782 = 425,782 : x
  2. Step 2: Convert to fraction form
    198,687/425,782 = 425,782/x
  3. Step 3: Cross multiply
    198,687x = 425,782 × 425,782
  4. Step 4: Simplify right side
    198,687x = 181,290,311,524
  5. Step 5: Solve for x
    x = 181,290,311,524/198,687
  6. Step 6: Final answer
    x = 912,441.74

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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.