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Finding the Third Proportional to 27.70 and 38.60

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Solution

The third proportional to 27.70 and 38.60 is: 53.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.70 : 38.60 = 38.60 : x
  2. Step 2: Convert to fraction form
    27.70/38.60 = 38.60/x
  3. Step 3: Cross multiply
    27.70x = 38.60 × 38.60
  4. Step 4: Simplify right side
    27.70x = 1,490.08
  5. Step 5: Solve for x
    x = 1,490.08/27.70
  6. Step 6: Final answer
    x = 53.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.