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Finding the Third Proportional to 21.46 and 47.21

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Solution

The third proportional to 21.46 and 47.21 is: 103.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.46 : 47.21 = 47.21 : x
  2. Step 2: Convert to fraction form
    21.46/47.21 = 47.21/x
  3. Step 3: Cross multiply
    21.46x = 47.21 × 47.21
  4. Step 4: Simplify right side
    21.46x = 2,228.47
  5. Step 5: Solve for x
    x = 2,228.47/21.46
  6. Step 6: Final answer
    x = 103.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.