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Finding the Third Proportional to 328,071 and 682,317

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Solution

The third proportional to 328,071 and 682,317 is: 1,419,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,071 : 682,317 = 682,317 : x
  2. Step 2: Convert to fraction form
    328,071/682,317 = 682,317/x
  3. Step 3: Cross multiply
    328,071x = 682,317 × 682,317
  4. Step 4: Simplify right side
    328,071x = 465,556,488,489
  5. Step 5: Solve for x
    x = 465,556,488,489/328,071
  6. Step 6: Final answer
    x = 1,419,072.36

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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.