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Finding the Third Proportional to 203,758 and 447,853

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Solution

The third proportional to 203,758 and 447,853 is: 984,365.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,758 : 447,853 = 447,853 : x
  2. Step 2: Convert to fraction form
    203,758/447,853 = 447,853/x
  3. Step 3: Cross multiply
    203,758x = 447,853 × 447,853
  4. Step 4: Simplify right side
    203,758x = 200,572,309,609
  5. Step 5: Solve for x
    x = 200,572,309,609/203,758
  6. Step 6: Final answer
    x = 984,365.32

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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.