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Finding the Third Proportional to 7.49 and 9.61

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Solution

The third proportional to 7.49 and 9.61 is: 12.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.49 : 9.61 = 9.61 : x
  2. Step 2: Convert to fraction form
    7.49/9.61 = 9.61/x
  3. Step 3: Cross multiply
    7.49x = 9.61 × 9.61
  4. Step 4: Simplify right side
    7.49x = 92.36
  5. Step 5: Solve for x
    x = 92.36/7.49
  6. Step 6: Final answer
    x = 12.33

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.