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Finding the Third Proportional to 135,880 and 205,872

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Solution

The third proportional to 135,880 and 205,872 is: 311,916.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,880 : 205,872 = 205,872 : x
  2. Step 2: Convert to fraction form
    135,880/205,872 = 205,872/x
  3. Step 3: Cross multiply
    135,880x = 205,872 × 205,872
  4. Step 4: Simplify right side
    135,880x = 42,383,280,384
  5. Step 5: Solve for x
    x = 42,383,280,384/135,880
  6. Step 6: Final answer
    x = 311,916.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.