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Finding the Third Proportional to 396,028.13 and 813,051.19

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Solution

The third proportional to 396,028.13 and 813,051.19 is: 1,669,205.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,028.13 : 813,051.19 = 813,051.19 : x
  2. Step 2: Convert to fraction form
    396,028.13/813,051.19 = 813,051.19/x
  3. Step 3: Cross multiply
    396,028.13x = 813,051.19 × 813,051.19
  4. Step 4: Simplify right side
    396,028.13x = 661,052,233,495.16
  5. Step 5: Solve for x
    x = 661,052,233,495.16/396,028.13
  6. Step 6: Final answer
    x = 1,669,205.27

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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.