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Finding the Third Proportional to 17.36 and 37.81

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Solution

The third proportional to 17.36 and 37.81 is: 82.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.36 : 37.81 = 37.81 : x
  2. Step 2: Convert to fraction form
    17.36/37.81 = 37.81/x
  3. Step 3: Cross multiply
    17.36x = 37.81 × 37.81
  4. Step 4: Simplify right side
    17.36x = 1,429.62
  5. Step 5: Solve for x
    x = 1,429.62/17.36
  6. Step 6: Final answer
    x = 82.35

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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.