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Finding the Third Proportional to 179,782 and 394,555

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Solution

The third proportional to 179,782 and 394,555 is: 865,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,782 : 394,555 = 394,555 : x
  2. Step 2: Convert to fraction form
    179,782/394,555 = 394,555/x
  3. Step 3: Cross multiply
    179,782x = 394,555 × 394,555
  4. Step 4: Simplify right side
    179,782x = 155,673,648,025
  5. Step 5: Solve for x
    x = 155,673,648,025/179,782
  6. Step 6: Final answer
    x = 865,902.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.