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Finding the Third Proportional to 166.75 and 355.32

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Solution

The third proportional to 166.75 and 355.32 is: 757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.75 : 355.32 = 355.32 : x
  2. Step 2: Convert to fraction form
    166.75/355.32 = 355.32/x
  3. Step 3: Cross multiply
    166.75x = 355.32 × 355.32
  4. Step 4: Simplify right side
    166.75x = 126,255.30
  5. Step 5: Solve for x
    x = 126,255.30/166.75
  6. Step 6: Final answer
    x = 757.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.