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Finding the Third Proportional to 11.94 and 21.53

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Solution

The third proportional to 11.94 and 21.53 is: 38.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.94 : 21.53 = 21.53 : x
  2. Step 2: Convert to fraction form
    11.94/21.53 = 21.53/x
  3. Step 3: Cross multiply
    11.94x = 21.53 × 21.53
  4. Step 4: Simplify right side
    11.94x = 463.59
  5. Step 5: Solve for x
    x = 463.59/11.94
  6. Step 6: Final answer
    x = 38.84

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.