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Finding the Third Proportional to 21.94 and 50.86

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Solution

The third proportional to 21.94 and 50.86 is: 117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.94 : 50.86 = 50.86 : x
  2. Step 2: Convert to fraction form
    21.94/50.86 = 50.86/x
  3. Step 3: Cross multiply
    21.94x = 50.86 × 50.86
  4. Step 4: Simplify right side
    21.94x = 2,586.68
  5. Step 5: Solve for x
    x = 2,586.68/21.94
  6. Step 6: Final answer
    x = 117.91

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.