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Finding the Third Proportional to 27.84 and 37.97

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Solution

The third proportional to 27.84 and 37.97 is: 51.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.84 : 37.97 = 37.97 : x
  2. Step 2: Convert to fraction form
    27.84/37.97 = 37.97/x
  3. Step 3: Cross multiply
    27.84x = 37.97 × 37.97
  4. Step 4: Simplify right side
    27.84x = 1,441.63
  5. Step 5: Solve for x
    x = 1,441.63/27.84
  6. Step 6: Final answer
    x = 51.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.