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Finding the Third Proportional to 320,391 and 682,193

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Solution

The third proportional to 320,391 and 682,193 is: 1,452,560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,391 : 682,193 = 682,193 : x
  2. Step 2: Convert to fraction form
    320,391/682,193 = 682,193/x
  3. Step 3: Cross multiply
    320,391x = 682,193 × 682,193
  4. Step 4: Simplify right side
    320,391x = 465,387,289,249
  5. Step 5: Solve for x
    x = 465,387,289,249/320,391
  6. Step 6: Final answer
    x = 1,452,560.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.