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Finding the Third Proportional to 320,385 and 682,182

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Solution

The third proportional to 320,385 and 682,182 is: 1,452,540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,385 : 682,182 = 682,182 : x
  2. Step 2: Convert to fraction form
    320,385/682,182 = 682,182/x
  3. Step 3: Cross multiply
    320,385x = 682,182 × 682,182
  4. Step 4: Simplify right side
    320,385x = 465,372,281,124
  5. Step 5: Solve for x
    x = 465,372,281,124/320,385
  6. Step 6: Final answer
    x = 1,452,540.79

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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.