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Finding the Third Proportional to 168.23 and 336.47

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Solution

The third proportional to 168.23 and 336.47 is: 672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.23 : 336.47 = 336.47 : x
  2. Step 2: Convert to fraction form
    168.23/336.47 = 336.47/x
  3. Step 3: Cross multiply
    168.23x = 336.47 × 336.47
  4. Step 4: Simplify right side
    168.23x = 113,211.22
  5. Step 5: Solve for x
    x = 113,211.22/168.23
  6. Step 6: Final answer
    x = 672.94

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.