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Finding the Third Proportional to 26.88 and 37.81

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Solution

The third proportional to 26.88 and 37.81 is: 53.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.88 : 37.81 = 37.81 : x
  2. Step 2: Convert to fraction form
    26.88/37.81 = 37.81/x
  3. Step 3: Cross multiply
    26.88x = 37.81 × 37.81
  4. Step 4: Simplify right side
    26.88x = 1,429.79
  5. Step 5: Solve for x
    x = 1,429.79/26.88
  6. Step 6: Final answer
    x = 53.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.