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Finding the Third Proportional to 17.45 and 25.66

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Solution

The third proportional to 17.45 and 25.66 is: 37.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.45 : 25.66 = 25.66 : x
  2. Step 2: Convert to fraction form
    17.45/25.66 = 25.66/x
  3. Step 3: Cross multiply
    17.45x = 25.66 × 25.66
  4. Step 4: Simplify right side
    17.45x = 658.64
  5. Step 5: Solve for x
    x = 658.64/17.45
  6. Step 6: Final answer
    x = 37.75

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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.