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Finding the Third Proportional to 257,725.13 and 394,240.50

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Solution

The third proportional to 257,725.13 and 394,240.50 is: 603,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,725.13 : 394,240.50 = 394,240.50 : x
  2. Step 2: Convert to fraction form
    257,725.13/394,240.50 = 394,240.50/x
  3. Step 3: Cross multiply
    257,725.13x = 394,240.50 × 394,240.50
  4. Step 4: Simplify right side
    257,725.13x = 155,425,571,840.25
  5. Step 5: Solve for x
    x = 155,425,571,840.25/257,725.13
  6. Step 6: Final answer
    x = 603,067.21

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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.