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Finding the Third Proportional to 20.41 and 27.45

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Solution

The third proportional to 20.41 and 27.45 is: 36.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.41 : 27.45 = 27.45 : x
  2. Step 2: Convert to fraction form
    20.41/27.45 = 27.45/x
  3. Step 3: Cross multiply
    20.41x = 27.45 × 27.45
  4. Step 4: Simplify right side
    20.41x = 753.40
  5. Step 5: Solve for x
    x = 753.40/20.41
  6. Step 6: Final answer
    x = 36.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.