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Finding the Third Proportional to 204,122 and 441,103

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Solution

The third proportional to 204,122 and 441,103 is: 953,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,122 : 441,103 = 441,103 : x
  2. Step 2: Convert to fraction form
    204,122/441,103 = 441,103/x
  3. Step 3: Cross multiply
    204,122x = 441,103 × 441,103
  4. Step 4: Simplify right side
    204,122x = 194,571,856,609
  5. Step 5: Solve for x
    x = 194,571,856,609/204,122
  6. Step 6: Final answer
    x = 953,213.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.