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Finding the Third Proportional to 257,694 and 393,204

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Solution

The third proportional to 257,694 and 393,204 is: 599,972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,694 : 393,204 = 393,204 : x
  2. Step 2: Convert to fraction form
    257,694/393,204 = 393,204/x
  3. Step 3: Cross multiply
    257,694x = 393,204 × 393,204
  4. Step 4: Simplify right side
    257,694x = 154,609,385,616
  5. Step 5: Solve for x
    x = 154,609,385,616/257,694
  6. Step 6: Final answer
    x = 599,972.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.