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Finding the Third Proportional to 204,226 and 443,873

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Solution

The third proportional to 204,226 and 443,873 is: 964,731.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,226 : 443,873 = 443,873 : x
  2. Step 2: Convert to fraction form
    204,226/443,873 = 443,873/x
  3. Step 3: Cross multiply
    204,226x = 443,873 × 443,873
  4. Step 4: Simplify right side
    204,226x = 197,023,240,129
  5. Step 5: Solve for x
    x = 197,023,240,129/204,226
  6. Step 6: Final answer
    x = 964,731.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.