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Finding the Third Proportional to 204,100 and 443,228

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Solution

The third proportional to 204,100 and 443,228 is: 962,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,100 : 443,228 = 443,228 : x
  2. Step 2: Convert to fraction form
    204,100/443,228 = 443,228/x
  3. Step 3: Cross multiply
    204,100x = 443,228 × 443,228
  4. Step 4: Simplify right side
    204,100x = 196,451,059,984
  5. Step 5: Solve for x
    x = 196,451,059,984/204,100
  6. Step 6: Final answer
    x = 962,523.57

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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.