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Finding the Third Proportional to 20.94 and 47.31

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Solution

The third proportional to 20.94 and 47.31 is: 106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.94 : 47.31 = 47.31 : x
  2. Step 2: Convert to fraction form
    20.94/47.31 = 47.31/x
  3. Step 3: Cross multiply
    20.94x = 47.31 × 47.31
  4. Step 4: Simplify right side
    20.94x = 2,238.47
  5. Step 5: Solve for x
    x = 2,238.47/20.94
  6. Step 6: Final answer
    x = 106.91

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.