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Finding the Third Proportional to 3.69 and 8.00

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Solution

The third proportional to 3.69 and 8.00 is: 17.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.69 : 8.00 = 8.00 : x
  2. Step 2: Convert to fraction form
    3.69/8.00 = 8.00/x
  3. Step 3: Cross multiply
    3.69x = 8.00 × 8.00
  4. Step 4: Simplify right side
    3.69x = 63.92
  5. Step 5: Solve for x
    x = 63.92/3.69
  6. Step 6: Final answer
    x = 17.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.