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Finding the Third Proportional to 135,880 and 299,408

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Solution

The third proportional to 135,880 and 299,408 is: 659,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,880 : 299,408 = 299,408 : x
  2. Step 2: Convert to fraction form
    135,880/299,408 = 299,408/x
  3. Step 3: Cross multiply
    135,880x = 299,408 × 299,408
  4. Step 4: Simplify right side
    135,880x = 89,645,150,464
  5. Step 5: Solve for x
    x = 89,645,150,464/135,880
  6. Step 6: Final answer
    x = 659,737.64

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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.