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Finding the Third Proportional to 257,573.25 and 394,008.75

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Solution

The third proportional to 257,573.25 and 394,008.75 is: 602,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,573.25 : 394,008.75 = 394,008.75 : x
  2. Step 2: Convert to fraction form
    257,573.25/394,008.75 = 394,008.75/x
  3. Step 3: Cross multiply
    257,573.25x = 394,008.75 × 394,008.75
  4. Step 4: Simplify right side
    257,573.25x = 155,242,895,076.56
  5. Step 5: Solve for x
    x = 155,242,895,076.56/257,573.25
  6. Step 6: Final answer
    x = 602,713.58

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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.