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Finding the Third Proportional to 14.33 and 30.81

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Solution

The third proportional to 14.33 and 30.81 is: 66.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.33 : 30.81 = 30.81 : x
  2. Step 2: Convert to fraction form
    14.33/30.81 = 30.81/x
  3. Step 3: Cross multiply
    14.33x = 30.81 × 30.81
  4. Step 4: Simplify right side
    14.33x = 949.35
  5. Step 5: Solve for x
    x = 949.35/14.33
  6. Step 6: Final answer
    x = 66.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.