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Finding the Third Proportional to 80,120 and 125,679

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Solution

The third proportional to 80,120 and 125,679 is: 197,144.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,120 : 125,679 = 125,679 : x
  2. Step 2: Convert to fraction form
    80,120/125,679 = 125,679/x
  3. Step 3: Cross multiply
    80,120x = 125,679 × 125,679
  4. Step 4: Simplify right side
    80,120x = 15,795,211,041
  5. Step 5: Solve for x
    x = 15,795,211,041/80,120
  6. Step 6: Final answer
    x = 197,144.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.