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Finding the Third Proportional to 135,876 and 299,400

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Solution

The third proportional to 135,876 and 299,400 is: 659,721.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,876 : 299,400 = 299,400 : x
  2. Step 2: Convert to fraction form
    135,876/299,400 = 299,400/x
  3. Step 3: Cross multiply
    135,876x = 299,400 × 299,400
  4. Step 4: Simplify right side
    135,876x = 89,640,360,000
  5. Step 5: Solve for x
    x = 89,640,360,000/135,876
  6. Step 6: Final answer
    x = 659,721.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.