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Finding the Third Proportional to 129.33 and 194.12

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Solution

The third proportional to 129.33 and 194.12 is: 291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.33 : 194.12 = 194.12 : x
  2. Step 2: Convert to fraction form
    129.33/194.12 = 194.12/x
  3. Step 3: Cross multiply
    129.33x = 194.12 × 194.12
  4. Step 4: Simplify right side
    129.33x = 37,680.72
  5. Step 5: Solve for x
    x = 37,680.72/129.33
  6. Step 6: Final answer
    x = 291.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.