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Finding the Third Proportional to 328,086 and 682,344

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Solution

The third proportional to 328,086 and 682,344 is: 1,419,119.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,086 : 682,344 = 682,344 : x
  2. Step 2: Convert to fraction form
    328,086/682,344 = 682,344/x
  3. Step 3: Cross multiply
    328,086x = 682,344 × 682,344
  4. Step 4: Simplify right side
    328,086x = 465,593,334,336
  5. Step 5: Solve for x
    x = 465,593,334,336/328,086
  6. Step 6: Final answer
    x = 1,419,119.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.