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Finding the Third Proportional to 168,193 and 280,311

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Solution

The third proportional to 168,193 and 280,311 is: 467,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,193 : 280,311 = 280,311 : x
  2. Step 2: Convert to fraction form
    168,193/280,311 = 280,311/x
  3. Step 3: Cross multiply
    168,193x = 280,311 × 280,311
  4. Step 4: Simplify right side
    168,193x = 78,574,256,721
  5. Step 5: Solve for x
    x = 78,574,256,721/168,193
  6. Step 6: Final answer
    x = 467,167.22

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.