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Finding the Third Proportional to 27.19 and 57.38

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Solution

The third proportional to 27.19 and 57.38 is: 121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.19 : 57.38 = 57.38 : x
  2. Step 2: Convert to fraction form
    27.19/57.38 = 57.38/x
  3. Step 3: Cross multiply
    27.19x = 57.38 × 57.38
  4. Step 4: Simplify right side
    27.19x = 3,291.89
  5. Step 5: Solve for x
    x = 3,291.89/27.19
  6. Step 6: Final answer
    x = 121.08

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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.