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Finding the Third Proportional to 5.56 and 11.85

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Solution

The third proportional to 5.56 and 11.85 is: 25.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.56 : 11.85 = 11.85 : x
  2. Step 2: Convert to fraction form
    5.56/11.85 = 11.85/x
  3. Step 3: Cross multiply
    5.56x = 11.85 × 11.85
  4. Step 4: Simplify right side
    5.56x = 140.38
  5. Step 5: Solve for x
    x = 140.38/5.56
  6. Step 6: Final answer
    x = 25.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.