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Finding the Third Proportional to 4.50 and 11.69

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Solution

The third proportional to 4.50 and 11.69 is: 30.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.50 : 11.69 = 11.69 : x
  2. Step 2: Convert to fraction form
    4.50/11.69 = 11.69/x
  3. Step 3: Cross multiply
    4.50x = 11.69 × 11.69
  4. Step 4: Simplify right side
    4.50x = 136.60
  5. Step 5: Solve for x
    x = 136.60/4.50
  6. Step 6: Final answer
    x = 30.36

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.