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Finding the Third Proportional to 126,006 and 203,025

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Solution

The third proportional to 126,006 and 203,025 is: 327,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,006 : 203,025 = 203,025 : x
  2. Step 2: Convert to fraction form
    126,006/203,025 = 203,025/x
  3. Step 3: Cross multiply
    126,006x = 203,025 × 203,025
  4. Step 4: Simplify right side
    126,006x = 41,219,150,625
  5. Step 5: Solve for x
    x = 41,219,150,625/126,006
  6. Step 6: Final answer
    x = 327,120.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.