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Finding the Third Proportional to 19 and 33.81

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Solution

The third proportional to 19 and 33.81 is: 60.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19 : 33.81 = 33.81 : x
  2. Step 2: Convert to fraction form
    19/33.81 = 33.81/x
  3. Step 3: Cross multiply
    19x = 33.81 × 33.81
  4. Step 4: Simplify right side
    19x = 1,143.29
  5. Step 5: Solve for x
    x = 1,143.29/19
  6. Step 6: Final answer
    x = 60.17

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.