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Finding the Third Proportional to 129.09 and 205.66

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Solution

The third proportional to 129.09 and 205.66 is: 327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.09 : 205.66 = 205.66 : x
  2. Step 2: Convert to fraction form
    129.09/205.66 = 205.66/x
  3. Step 3: Cross multiply
    129.09x = 205.66 × 205.66
  4. Step 4: Simplify right side
    129.09x = 42,297.71
  5. Step 5: Solve for x
    x = 42,297.71/129.09
  6. Step 6: Final answer
    x = 327.65

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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.