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Finding the Third Proportional to 203,784 and 447,908

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Solution

The third proportional to 203,784 and 447,908 is: 984,481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,784 : 447,908 = 447,908 : x
  2. Step 2: Convert to fraction form
    203,784/447,908 = 447,908/x
  3. Step 3: Cross multiply
    203,784x = 447,908 × 447,908
  4. Step 4: Simplify right side
    203,784x = 200,621,576,464
  5. Step 5: Solve for x
    x = 200,621,576,464/203,784
  6. Step 6: Final answer
    x = 984,481.49

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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.