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Finding the Third Proportional to 203,691 and 447,990

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Solution

The third proportional to 203,691 and 447,990 is: 985,291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,691 : 447,990 = 447,990 : x
  2. Step 2: Convert to fraction form
    203,691/447,990 = 447,990/x
  3. Step 3: Cross multiply
    203,691x = 447,990 × 447,990
  4. Step 4: Simplify right side
    203,691x = 200,695,040,100
  5. Step 5: Solve for x
    x = 200,695,040,100/203,691
  6. Step 6: Final answer
    x = 985,291.64

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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.