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Finding the Third Proportional to 178,434 and 396,234

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Solution

The third proportional to 178,434 and 396,234 is: 879,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,434 : 396,234 = 396,234 : x
  2. Step 2: Convert to fraction form
    178,434/396,234 = 396,234/x
  3. Step 3: Cross multiply
    178,434x = 396,234 × 396,234
  4. Step 4: Simplify right side
    178,434x = 157,001,382,756
  5. Step 5: Solve for x
    x = 157,001,382,756/178,434
  6. Step 6: Final answer
    x = 879,884.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.