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Finding the Third Proportional to 168.12 and 259.66

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Solution

The third proportional to 168.12 and 259.66 is: 401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.12 : 259.66 = 259.66 : x
  2. Step 2: Convert to fraction form
    168.12/259.66 = 259.66/x
  3. Step 3: Cross multiply
    168.12x = 259.66 × 259.66
  4. Step 4: Simplify right side
    168.12x = 67,425.43
  5. Step 5: Solve for x
    x = 67,425.43/168.12
  6. Step 6: Final answer
    x = 401.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.