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Finding the Third Proportional to 396.77 and 872.54

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Solution

The third proportional to 396.77 and 872.54 is: 1,918.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.77 : 872.54 = 872.54 : x
  2. Step 2: Convert to fraction form
    396.77/872.54 = 872.54/x
  3. Step 3: Cross multiply
    396.77x = 872.54 × 872.54
  4. Step 4: Simplify right side
    396.77x = 761,331.23
  5. Step 5: Solve for x
    x = 761,331.23/396.77
  6. Step 6: Final answer
    x = 1,918.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.