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Finding the Third Proportional to 12.09 and 17.72

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Solution

The third proportional to 12.09 and 17.72 is: 25.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.09 : 17.72 = 17.72 : x
  2. Step 2: Convert to fraction form
    12.09/17.72 = 17.72/x
  3. Step 3: Cross multiply
    12.09x = 17.72 × 17.72
  4. Step 4: Simplify right side
    12.09x = 313.95
  5. Step 5: Solve for x
    x = 313.95/12.09
  6. Step 6: Final answer
    x = 25.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.