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Finding the Third Proportional to 27.05 and 57.11

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Solution

The third proportional to 27.05 and 57.11 is: 120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.05 : 57.11 = 57.11 : x
  2. Step 2: Convert to fraction form
    27.05/57.11 = 57.11/x
  3. Step 3: Cross multiply
    27.05x = 57.11 × 57.11
  4. Step 4: Simplify right side
    27.05x = 3,261.70
  5. Step 5: Solve for x
    x = 3,261.70/27.05
  6. Step 6: Final answer
    x = 120.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.