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Finding the Third Proportional to 11.94 and 29.47

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Solution

The third proportional to 11.94 and 29.47 is: 72.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.94 : 29.47 = 29.47 : x
  2. Step 2: Convert to fraction form
    11.94/29.47 = 29.47/x
  3. Step 3: Cross multiply
    11.94x = 29.47 × 29.47
  4. Step 4: Simplify right side
    11.94x = 868.41
  5. Step 5: Solve for x
    x = 868.41/11.94
  6. Step 6: Final answer
    x = 72.75

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.