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Finding the Third Proportional to 17.37 and 18.71

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Solution

The third proportional to 17.37 and 18.71 is: 20.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.37 : 18.71 = 18.71 : x
  2. Step 2: Convert to fraction form
    17.37/18.71 = 18.71/x
  3. Step 3: Cross multiply
    17.37x = 18.71 × 18.71
  4. Step 4: Simplify right side
    17.37x = 349.90
  5. Step 5: Solve for x
    x = 349.90/17.37
  6. Step 6: Final answer
    x = 20.14

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.