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Finding the Third Proportional to 396,600 and 826,032

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Solution

The third proportional to 396,600 and 826,032 is: 1,720,445.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,600 : 826,032 = 826,032 : x
  2. Step 2: Convert to fraction form
    396,600/826,032 = 826,032/x
  3. Step 3: Cross multiply
    396,600x = 826,032 × 826,032
  4. Step 4: Simplify right side
    396,600x = 682,328,865,024
  5. Step 5: Solve for x
    x = 682,328,865,024/396,600
  6. Step 6: Final answer
    x = 1,720,445.95

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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.