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Finding the Third Proportional to 396,193.50 and 853,989

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Solution

The third proportional to 396,193.50 and 853,989 is: 1,840,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,193.50 : 853,989 = 853,989 : x
  2. Step 2: Convert to fraction form
    396,193.50/853,989 = 853,989/x
  3. Step 3: Cross multiply
    396,193.50x = 853,989 × 853,989
  4. Step 4: Simplify right side
    396,193.50x = 729,297,212,121
  5. Step 5: Solve for x
    x = 729,297,212,121/396,193.50
  6. Step 6: Final answer
    x = 1,840,760.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.