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Finding the Third Proportional to 2.27 and 5.81

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Solution

The third proportional to 2.27 and 5.81 is: 14.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.27 : 5.81 = 5.81 : x
  2. Step 2: Convert to fraction form
    2.27/5.81 = 5.81/x
  3. Step 3: Cross multiply
    2.27x = 5.81 × 5.81
  4. Step 4: Simplify right side
    2.27x = 33.76
  5. Step 5: Solve for x
    x = 33.76/2.27
  6. Step 6: Final answer
    x = 14.90

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.