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Finding the Third Proportional to 257,574.50 and 394,010.75

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Solution

The third proportional to 257,574.50 and 394,010.75 is: 602,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,574.50 : 394,010.75 = 394,010.75 : x
  2. Step 2: Convert to fraction form
    257,574.50/394,010.75 = 394,010.75/x
  3. Step 3: Cross multiply
    257,574.50x = 394,010.75 × 394,010.75
  4. Step 4: Simplify right side
    257,574.50x = 155,244,471,115.56
  5. Step 5: Solve for x
    x = 155,244,471,115.56/257,574.50
  6. Step 6: Final answer
    x = 602,716.77

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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.