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Finding the Third Proportional to 104,229 and 212,149

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Solution

The third proportional to 104,229 and 212,149 is: 431,810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,229 : 212,149 = 212,149 : x
  2. Step 2: Convert to fraction form
    104,229/212,149 = 212,149/x
  3. Step 3: Cross multiply
    104,229x = 212,149 × 212,149
  4. Step 4: Simplify right side
    104,229x = 45,007,198,201
  5. Step 5: Solve for x
    x = 45,007,198,201/104,229
  6. Step 6: Final answer
    x = 431,810.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.