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Finding the Third Proportional to 206,958 and 328,257

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Solution

The third proportional to 206,958 and 328,257 is: 520,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,958 : 328,257 = 328,257 : x
  2. Step 2: Convert to fraction form
    206,958/328,257 = 328,257/x
  3. Step 3: Cross multiply
    206,958x = 328,257 × 328,257
  4. Step 4: Simplify right side
    206,958x = 107,752,658,049
  5. Step 5: Solve for x
    x = 107,752,658,049/206,958
  6. Step 6: Final answer
    x = 520,649.88

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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.