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Finding the Third Proportional to 5.44 and 12.85

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Solution

The third proportional to 5.44 and 12.85 is: 30.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.44 : 12.85 = 12.85 : x
  2. Step 2: Convert to fraction form
    5.44/12.85 = 12.85/x
  3. Step 3: Cross multiply
    5.44x = 12.85 × 12.85
  4. Step 4: Simplify right side
    5.44x = 165.17
  5. Step 5: Solve for x
    x = 165.17/5.44
  6. Step 6: Final answer
    x = 30.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.