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Finding the Third Proportional to 7.45 and 13.49

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Solution

The third proportional to 7.45 and 13.49 is: 24.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.45 : 13.49 = 13.49 : x
  2. Step 2: Convert to fraction form
    7.45/13.49 = 13.49/x
  3. Step 3: Cross multiply
    7.45x = 13.49 × 13.49
  4. Step 4: Simplify right side
    7.45x = 182.05
  5. Step 5: Solve for x
    x = 182.05/7.45
  6. Step 6: Final answer
    x = 24.43

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.