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Finding the Third Proportional to 167.22 and 345.20

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Solution

The third proportional to 167.22 and 345.20 is: 712.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.22 : 345.20 = 345.20 : x
  2. Step 2: Convert to fraction form
    167.22/345.20 = 345.20/x
  3. Step 3: Cross multiply
    167.22x = 345.20 × 345.20
  4. Step 4: Simplify right side
    167.22x = 119,162.50
  5. Step 5: Solve for x
    x = 119,162.50/167.22
  6. Step 6: Final answer
    x = 712.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.