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Finding the Third Proportional to 20.21 and 47.45

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Solution

The third proportional to 20.21 and 47.45 is: 111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.21 : 47.45 = 47.45 : x
  2. Step 2: Convert to fraction form
    20.21/47.45 = 47.45/x
  3. Step 3: Cross multiply
    20.21x = 47.45 × 47.45
  4. Step 4: Simplify right side
    20.21x = 2,251.78
  5. Step 5: Solve for x
    x = 2,251.78/20.21
  6. Step 6: Final answer
    x = 111.41

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.