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Finding the Third Proportional to 203,929 and 447,254

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Solution

The third proportional to 203,929 and 447,254 is: 980,910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,929 : 447,254 = 447,254 : x
  2. Step 2: Convert to fraction form
    203,929/447,254 = 447,254/x
  3. Step 3: Cross multiply
    203,929x = 447,254 × 447,254
  4. Step 4: Simplify right side
    203,929x = 200,036,140,516
  5. Step 5: Solve for x
    x = 200,036,140,516/203,929
  6. Step 6: Final answer
    x = 980,910.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.