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Finding the Third Proportional to 198,274 and 415,934

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Solution

The third proportional to 198,274 and 415,934 is: 872,535.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,274 : 415,934 = 415,934 : x
  2. Step 2: Convert to fraction form
    198,274/415,934 = 415,934/x
  3. Step 3: Cross multiply
    198,274x = 415,934 × 415,934
  4. Step 4: Simplify right side
    198,274x = 173,001,092,356
  5. Step 5: Solve for x
    x = 173,001,092,356/198,274
  6. Step 6: Final answer
    x = 872,535.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.