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Finding the Third Proportional to 198,890 and 431,644

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Solution

The third proportional to 198,890 and 431,644 is: 936,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,890 : 431,644 = 431,644 : x
  2. Step 2: Convert to fraction form
    198,890/431,644 = 431,644/x
  3. Step 3: Cross multiply
    198,890x = 431,644 × 431,644
  4. Step 4: Simplify right side
    198,890x = 186,316,542,736
  5. Step 5: Solve for x
    x = 186,316,542,736/198,890
  6. Step 6: Final answer
    x = 936,781.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.