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Finding the Third Proportional to 396,028.50 and 813,052.13

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Solution

The third proportional to 396,028.50 and 813,052.13 is: 1,669,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,028.50 : 813,052.13 = 813,052.13 : x
  2. Step 2: Convert to fraction form
    396,028.50/813,052.13 = 813,052.13/x
  3. Step 3: Cross multiply
    396,028.50x = 813,052.13 × 813,052.13
  4. Step 4: Simplify right side
    396,028.50x = 661,053,757,967.02
  5. Step 5: Solve for x
    x = 661,053,757,967.02/396,028.50
  6. Step 6: Final answer
    x = 1,669,207.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.