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Finding the Third Proportional to 166.50 and 336.38

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Solution

The third proportional to 166.50 and 336.38 is: 679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.50 : 336.38 = 336.38 : x
  2. Step 2: Convert to fraction form
    166.50/336.38 = 336.38/x
  3. Step 3: Cross multiply
    166.50x = 336.38 × 336.38
  4. Step 4: Simplify right side
    166.50x = 113,148.14
  5. Step 5: Solve for x
    x = 113,148.14/166.50
  6. Step 6: Final answer
    x = 679.57

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.