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Finding the Third Proportional to 10.69 and 20.19

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Solution

The third proportional to 10.69 and 20.19 is: 38.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.69 : 20.19 = 20.19 : x
  2. Step 2: Convert to fraction form
    10.69/20.19 = 20.19/x
  3. Step 3: Cross multiply
    10.69x = 20.19 × 20.19
  4. Step 4: Simplify right side
    10.69x = 407.65
  5. Step 5: Solve for x
    x = 407.65/10.69
  6. Step 6: Final answer
    x = 38.14

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.