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Finding the Third Proportional to 216.84 and 286.73

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Solution

The third proportional to 216.84 and 286.73 is: 379.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.84 : 286.73 = 286.73 : x
  2. Step 2: Convert to fraction form
    216.84/286.73 = 286.73/x
  3. Step 3: Cross multiply
    216.84x = 286.73 × 286.73
  4. Step 4: Simplify right side
    216.84x = 82,216.60
  5. Step 5: Solve for x
    x = 82,216.60/216.84
  6. Step 6: Final answer
    x = 379.15

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.