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Finding the Third Proportional to 253,921.50 and 394,440.75

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Solution

The third proportional to 253,921.50 and 394,440.75 is: 612,722.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,921.50 : 394,440.75 = 394,440.75 : x
  2. Step 2: Convert to fraction form
    253,921.50/394,440.75 = 394,440.75/x
  3. Step 3: Cross multiply
    253,921.50x = 394,440.75 × 394,440.75
  4. Step 4: Simplify right side
    253,921.50x = 155,583,505,260.56
  5. Step 5: Solve for x
    x = 155,583,505,260.56/253,921.50
  6. Step 6: Final answer
    x = 612,722.85

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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.