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Finding the Third Proportional to 69.94 and 141.84

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Solution

The third proportional to 69.94 and 141.84 is: 287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.94 : 141.84 = 141.84 : x
  2. Step 2: Convert to fraction form
    69.94/141.84 = 141.84/x
  3. Step 3: Cross multiply
    69.94x = 141.84 × 141.84
  4. Step 4: Simplify right side
    69.94x = 20,119.65
  5. Step 5: Solve for x
    x = 20,119.65/69.94
  6. Step 6: Final answer
    x = 287.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.