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Finding the Third Proportional to 206,251 and 328,189

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Solution

The third proportional to 206,251 and 328,189 is: 522,218.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,251 : 328,189 = 328,189 : x
  2. Step 2: Convert to fraction form
    206,251/328,189 = 328,189/x
  3. Step 3: Cross multiply
    206,251x = 328,189 × 328,189
  4. Step 4: Simplify right side
    206,251x = 107,708,019,721
  5. Step 5: Solve for x
    x = 107,708,019,721/206,251
  6. Step 6: Final answer
    x = 522,218.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.