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Finding the Third Proportional to 17.34 and 37.87

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Solution

The third proportional to 17.34 and 37.87 is: 82.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.34 : 37.87 = 37.87 : x
  2. Step 2: Convert to fraction form
    17.34/37.87 = 37.87/x
  3. Step 3: Cross multiply
    17.34x = 37.87 × 37.87
  4. Step 4: Simplify right side
    17.34x = 1,434.44
  5. Step 5: Solve for x
    x = 1,434.44/17.34
  6. Step 6: Final answer
    x = 82.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.