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Finding the Third Proportional to 154.69 and 329.44

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Solution

The third proportional to 154.69 and 329.44 is: 701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.69 : 329.44 = 329.44 : x
  2. Step 2: Convert to fraction form
    154.69/329.44 = 329.44/x
  3. Step 3: Cross multiply
    154.69x = 329.44 × 329.44
  4. Step 4: Simplify right side
    154.69x = 108,529.07
  5. Step 5: Solve for x
    x = 108,529.07/154.69
  6. Step 6: Final answer
    x = 701.60

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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.