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Finding the Third Proportional to 206,074 and 439,366

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Solution

The third proportional to 206,074 and 439,366 is: 936,762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,074 : 439,366 = 439,366 : x
  2. Step 2: Convert to fraction form
    206,074/439,366 = 439,366/x
  3. Step 3: Cross multiply
    206,074x = 439,366 × 439,366
  4. Step 4: Simplify right side
    206,074x = 193,042,481,956
  5. Step 5: Solve for x
    x = 193,042,481,956/206,074
  6. Step 6: Final answer
    x = 936,762.92

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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.