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Finding the Third Proportional to 27.56 and 39.84

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Solution

The third proportional to 27.56 and 39.84 is: 57.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.56 : 39.84 = 39.84 : x
  2. Step 2: Convert to fraction form
    27.56/39.84 = 39.84/x
  3. Step 3: Cross multiply
    27.56x = 39.84 × 39.84
  4. Step 4: Simplify right side
    27.56x = 1,587.52
  5. Step 5: Solve for x
    x = 1,587.52/27.56
  6. Step 6: Final answer
    x = 57.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.