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Finding the Third Proportional to 7.81 and 16.94

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Solution

The third proportional to 7.81 and 16.94 is: 36.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.81 : 16.94 = 16.94 : x
  2. Step 2: Convert to fraction form
    7.81/16.94 = 16.94/x
  3. Step 3: Cross multiply
    7.81x = 16.94 × 16.94
  4. Step 4: Simplify right side
    7.81x = 286.88
  5. Step 5: Solve for x
    x = 286.88/7.81
  6. Step 6: Final answer
    x = 36.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.