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Finding the Third Proportional to 168.06 and 218.84

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Solution

The third proportional to 168.06 and 218.84 is: 284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.06 : 218.84 = 218.84 : x
  2. Step 2: Convert to fraction form
    168.06/218.84 = 218.84/x
  3. Step 3: Cross multiply
    168.06x = 218.84 × 218.84
  4. Step 4: Simplify right side
    168.06x = 47,892.59
  5. Step 5: Solve for x
    x = 47,892.59/168.06
  6. Step 6: Final answer
    x = 284.97

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.