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Finding the Third Proportional to 136.97 and 329.67

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Solution

The third proportional to 136.97 and 329.67 is: 793.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.97 : 329.67 = 329.67 : x
  2. Step 2: Convert to fraction form
    136.97/329.67 = 329.67/x
  3. Step 3: Cross multiply
    136.97x = 329.67 × 329.67
  4. Step 4: Simplify right side
    136.97x = 108,683.55
  5. Step 5: Solve for x
    x = 108,683.55/136.97
  6. Step 6: Final answer
    x = 793.49

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.