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Finding the Third Proportional to 203,778 and 447,900

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Solution

The third proportional to 203,778 and 447,900 is: 984,475.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,778 : 447,900 = 447,900 : x
  2. Step 2: Convert to fraction form
    203,778/447,900 = 447,900/x
  3. Step 3: Cross multiply
    203,778x = 447,900 × 447,900
  4. Step 4: Simplify right side
    203,778x = 200,614,410,000
  5. Step 5: Solve for x
    x = 200,614,410,000/203,778
  6. Step 6: Final answer
    x = 984,475.31

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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.