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Finding the Third Proportional to 206,067 and 439,351

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Solution

The third proportional to 206,067 and 439,351 is: 936,730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,067 : 439,351 = 439,351 : x
  2. Step 2: Convert to fraction form
    206,067/439,351 = 439,351/x
  3. Step 3: Cross multiply
    206,067x = 439,351 × 439,351
  4. Step 4: Simplify right side
    206,067x = 193,029,301,201
  5. Step 5: Solve for x
    x = 193,029,301,201/206,067
  6. Step 6: Final answer
    x = 936,730.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.