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Finding the Third Proportional to 180,856 and 394,104

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Solution

The third proportional to 180,856 and 394,104 is: 858,793.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,856 : 394,104 = 394,104 : x
  2. Step 2: Convert to fraction form
    180,856/394,104 = 394,104/x
  3. Step 3: Cross multiply
    180,856x = 394,104 × 394,104
  4. Step 4: Simplify right side
    180,856x = 155,317,962,816
  5. Step 5: Solve for x
    x = 155,317,962,816/180,856
  6. Step 6: Final answer
    x = 858,793.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.