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Finding the Third Proportional to 396.45 and 857.77

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Solution

The third proportional to 396.45 and 857.77 is: 1,855.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.45 : 857.77 = 857.77 : x
  2. Step 2: Convert to fraction form
    396.45/857.77 = 857.77/x
  3. Step 3: Cross multiply
    396.45x = 857.77 × 857.77
  4. Step 4: Simplify right side
    396.45x = 735,765.01
  5. Step 5: Solve for x
    x = 735,765.01/396.45
  6. Step 6: Final answer
    x = 1,855.90

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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.