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Finding the Third Proportional to 90,505 and 198,853

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Solution

The third proportional to 90,505 and 198,853 is: 436,909.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,505 : 198,853 = 198,853 : x
  2. Step 2: Convert to fraction form
    90,505/198,853 = 198,853/x
  3. Step 3: Cross multiply
    90,505x = 198,853 × 198,853
  4. Step 4: Simplify right side
    90,505x = 39,542,515,609
  5. Step 5: Solve for x
    x = 39,542,515,609/90,505
  6. Step 6: Final answer
    x = 436,909.74

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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.