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Finding the Third Proportional to 257,610.38 and 394,105.50

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Solution

The third proportional to 257,610.38 and 394,105.50 is: 602,922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,610.38 : 394,105.50 = 394,105.50 : x
  2. Step 2: Convert to fraction form
    257,610.38/394,105.50 = 394,105.50/x
  3. Step 3: Cross multiply
    257,610.38x = 394,105.50 × 394,105.50
  4. Step 4: Simplify right side
    257,610.38x = 155,319,145,130.25
  5. Step 5: Solve for x
    x = 155,319,145,130.25/257,610.38
  6. Step 6: Final answer
    x = 602,922.71

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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.