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Finding the Third Proportional to 328,125 and 682,442

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Solution

The third proportional to 328,125 and 682,442 is: 1,419,358.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,125 : 682,442 = 682,442 : x
  2. Step 2: Convert to fraction form
    328,125/682,442 = 682,442/x
  3. Step 3: Cross multiply
    328,125x = 682,442 × 682,442
  4. Step 4: Simplify right side
    328,125x = 465,727,083,364
  5. Step 5: Solve for x
    x = 465,727,083,364/328,125
  6. Step 6: Final answer
    x = 1,419,358.73

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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.