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Finding the Third Proportional to 19.11 and 21.83

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Solution

The third proportional to 19.11 and 21.83 is: 24.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.11 : 21.83 = 21.83 : x
  2. Step 2: Convert to fraction form
    19.11/21.83 = 21.83/x
  3. Step 3: Cross multiply
    19.11x = 21.83 × 21.83
  4. Step 4: Simplify right side
    19.11x = 476.62
  5. Step 5: Solve for x
    x = 476.62/19.11
  6. Step 6: Final answer
    x = 24.94

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.