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Finding the Third Proportional to 21.80 and 47.39

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Solution

The third proportional to 21.80 and 47.39 is: 103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.80 : 47.39 = 47.39 : x
  2. Step 2: Convert to fraction form
    21.80/47.39 = 47.39/x
  3. Step 3: Cross multiply
    21.80x = 47.39 × 47.39
  4. Step 4: Simplify right side
    21.80x = 2,245.87
  5. Step 5: Solve for x
    x = 2,245.87/21.80
  6. Step 6: Final answer
    x = 103.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.