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Finding the Third Proportional to 381.94 and 982.69

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Solution

The third proportional to 381.94 and 982.69 is: 2,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.94 : 982.69 = 982.69 : x
  2. Step 2: Convert to fraction form
    381.94/982.69 = 982.69/x
  3. Step 3: Cross multiply
    381.94x = 982.69 × 982.69
  4. Step 4: Simplify right side
    381.94x = 965,674.72
  5. Step 5: Solve for x
    x = 965,674.72/381.94
  6. Step 6: Final answer
    x = 2,528.36

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.