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Finding the Third Proportional to 12.05 and 17.65

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Solution

The third proportional to 12.05 and 17.65 is: 25.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.05 : 17.65 = 17.65 : x
  2. Step 2: Convert to fraction form
    12.05/17.65 = 17.65/x
  3. Step 3: Cross multiply
    12.05x = 17.65 × 17.65
  4. Step 4: Simplify right side
    12.05x = 311.53
  5. Step 5: Solve for x
    x = 311.53/12.05
  6. Step 6: Final answer
    x = 25.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.