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Finding the Third Proportional to 129.81 and 206.88

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Solution

The third proportional to 129.81 and 206.88 is: 329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.81 : 206.88 = 206.88 : x
  2. Step 2: Convert to fraction form
    129.81/206.88 = 206.88/x
  3. Step 3: Cross multiply
    129.81x = 206.88 × 206.88
  4. Step 4: Simplify right side
    129.81x = 42,797.27
  5. Step 5: Solve for x
    x = 42,797.27/129.81
  6. Step 6: Final answer
    x = 329.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.