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Finding the Third Proportional to 9.50 and 10.44

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Solution

The third proportional to 9.50 and 10.44 is: 11.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.50 : 10.44 = 10.44 : x
  2. Step 2: Convert to fraction form
    9.50/10.44 = 10.44/x
  3. Step 3: Cross multiply
    9.50x = 10.44 × 10.44
  4. Step 4: Simplify right side
    9.50x = 108.94
  5. Step 5: Solve for x
    x = 108.94/9.50
  6. Step 6: Final answer
    x = 11.47

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.