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Finding the Third Proportional to 20.40 and 27.70

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Solution

The third proportional to 20.40 and 27.70 is: 37.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.40 : 27.70 = 27.70 : x
  2. Step 2: Convert to fraction form
    20.40/27.70 = 27.70/x
  3. Step 3: Cross multiply
    20.40x = 27.70 × 27.70
  4. Step 4: Simplify right side
    20.40x = 767.46
  5. Step 5: Solve for x
    x = 767.46/20.40
  6. Step 6: Final answer
    x = 37.63

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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.