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Finding the Third Proportional to 79.50 and 125.69

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Solution

The third proportional to 79.50 and 125.69 is: 198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.50 : 125.69 = 125.69 : x
  2. Step 2: Convert to fraction form
    79.50/125.69 = 125.69/x
  3. Step 3: Cross multiply
    79.50x = 125.69 × 125.69
  4. Step 4: Simplify right side
    79.50x = 15,797.35
  5. Step 5: Solve for x
    x = 15,797.35/79.50
  6. Step 6: Final answer
    x = 198.71

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.