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Finding the Third Proportional to 3.30 and 5.69

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Solution

The third proportional to 3.30 and 5.69 is: 9.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.30 : 5.69 = 5.69 : x
  2. Step 2: Convert to fraction form
    3.30/5.69 = 5.69/x
  3. Step 3: Cross multiply
    3.30x = 5.69 × 5.69
  4. Step 4: Simplify right side
    3.30x = 32.43
  5. Step 5: Solve for x
    x = 32.43/3.30
  6. Step 6: Final answer
    x = 9.83

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.