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Finding the Third Proportional to 253,900.75 and 394,408.75

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Solution

The third proportional to 253,900.75 and 394,408.75 is: 612,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,900.75 : 394,408.75 = 394,408.75 : x
  2. Step 2: Convert to fraction form
    253,900.75/394,408.75 = 394,408.75/x
  3. Step 3: Cross multiply
    253,900.75x = 394,408.75 × 394,408.75
  4. Step 4: Simplify right side
    253,900.75x = 155,558,262,076.56
  5. Step 5: Solve for x
    x = 155,558,262,076.56/253,900.75
  6. Step 6: Final answer
    x = 612,673.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.