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Finding the Third Proportional to 129.75 and 201.83

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Solution

The third proportional to 129.75 and 201.83 is: 313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.75 : 201.83 = 201.83 : x
  2. Step 2: Convert to fraction form
    129.75/201.83 = 201.83/x
  3. Step 3: Cross multiply
    129.75x = 201.83 × 201.83
  4. Step 4: Simplify right side
    129.75x = 40,734.39
  5. Step 5: Solve for x
    x = 40,734.39/129.75
  6. Step 6: Final answer
    x = 313.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.