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Finding the Third Proportional to 198,605 and 425,632

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Solution

The third proportional to 198,605 and 425,632 is: 912,175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,605 : 425,632 = 425,632 : x
  2. Step 2: Convert to fraction form
    198,605/425,632 = 425,632/x
  3. Step 3: Cross multiply
    198,605x = 425,632 × 425,632
  4. Step 4: Simplify right side
    198,605x = 181,162,599,424
  5. Step 5: Solve for x
    x = 181,162,599,424/198,605
  6. Step 6: Final answer
    x = 912,175.42

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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.