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Finding the Third Proportional to 257,857.88 and 394,198.31

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Solution

The third proportional to 257,857.88 and 394,198.31 is: 602,627.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,857.88 : 394,198.31 = 394,198.31 : x
  2. Step 2: Convert to fraction form
    257,857.88/394,198.31 = 394,198.31/x
  3. Step 3: Cross multiply
    257,857.88x = 394,198.31 × 394,198.31
  4. Step 4: Simplify right side
    257,857.88x = 155,392,309,577.85
  5. Step 5: Solve for x
    x = 155,392,309,577.85/257,857.88
  6. Step 6: Final answer
    x = 602,627.74

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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.