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Finding the Third Proportional to 13.89 and 30.21

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Solution

The third proportional to 13.89 and 30.21 is: 65.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.89 : 30.21 = 30.21 : x
  2. Step 2: Convert to fraction form
    13.89/30.21 = 30.21/x
  3. Step 3: Cross multiply
    13.89x = 30.21 × 30.21
  4. Step 4: Simplify right side
    13.89x = 912.45
  5. Step 5: Solve for x
    x = 912.45/13.89
  6. Step 6: Final answer
    x = 65.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.