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Finding the Third Proportional to 21.94 and 51.14

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Solution

The third proportional to 21.94 and 51.14 is: 119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.94 : 51.14 = 51.14 : x
  2. Step 2: Convert to fraction form
    21.94/51.14 = 51.14/x
  3. Step 3: Cross multiply
    21.94x = 51.14 × 51.14
  4. Step 4: Simplify right side
    21.94x = 2,615.36
  5. Step 5: Solve for x
    x = 2,615.36/21.94
  6. Step 6: Final answer
    x = 119.22

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.