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Finding the Third Proportional to 328,123 and 682,438

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Solution

The third proportional to 328,123 and 682,438 is: 1,419,350.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,123 : 682,438 = 682,438 : x
  2. Step 2: Convert to fraction form
    328,123/682,438 = 682,438/x
  3. Step 3: Cross multiply
    328,123x = 682,438 × 682,438
  4. Step 4: Simplify right side
    328,123x = 465,721,623,844
  5. Step 5: Solve for x
    x = 465,721,623,844/328,123
  6. Step 6: Final answer
    x = 1,419,350.74

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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.