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Finding the Third Proportional to 31.84 and 69.11

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Solution

The third proportional to 31.84 and 69.11 is: 149.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.84 : 69.11 = 69.11 : x
  2. Step 2: Convert to fraction form
    31.84/69.11 = 69.11/x
  3. Step 3: Cross multiply
    31.84x = 69.11 × 69.11
  4. Step 4: Simplify right side
    31.84x = 4,776.11
  5. Step 5: Solve for x
    x = 4,776.11/31.84
  6. Step 6: Final answer
    x = 149.99

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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.