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Finding the Third Proportional to 26.84 and 57.91

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Solution

The third proportional to 26.84 and 57.91 is: 124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.84 : 57.91 = 57.91 : x
  2. Step 2: Convert to fraction form
    26.84/57.91 = 57.91/x
  3. Step 3: Cross multiply
    26.84x = 57.91 × 57.91
  4. Step 4: Simplify right side
    26.84x = 3,353.13
  5. Step 5: Solve for x
    x = 3,353.13/26.84
  6. Step 6: Final answer
    x = 124.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.