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Finding the Third Proportional to 90,514 and 198,876

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Solution

The third proportional to 90,514 and 198,876 is: 436,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,514 : 198,876 = 198,876 : x
  2. Step 2: Convert to fraction form
    90,514/198,876 = 198,876/x
  3. Step 3: Cross multiply
    90,514x = 198,876 × 198,876
  4. Step 4: Simplify right side
    90,514x = 39,551,663,376
  5. Step 5: Solve for x
    x = 39,551,663,376/90,514
  6. Step 6: Final answer
    x = 436,967.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.