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Finding the Third Proportional to 17.37 and 36.74

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Solution

The third proportional to 17.37 and 36.74 is: 77.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.37 : 36.74 = 36.74 : x
  2. Step 2: Convert to fraction form
    17.37/36.74 = 36.74/x
  3. Step 3: Cross multiply
    17.37x = 36.74 × 36.74
  4. Step 4: Simplify right side
    17.37x = 1,350.07
  5. Step 5: Solve for x
    x = 1,350.07/17.37
  6. Step 6: Final answer
    x = 77.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.