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Finding the Third Proportional to 135,876 and 277,800

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Solution

The third proportional to 135,876 and 277,800 is: 567,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,876 : 277,800 = 277,800 : x
  2. Step 2: Convert to fraction form
    135,876/277,800 = 277,800/x
  3. Step 3: Cross multiply
    135,876x = 277,800 × 277,800
  4. Step 4: Simplify right side
    135,876x = 77,172,840,000
  5. Step 5: Solve for x
    x = 77,172,840,000/135,876
  6. Step 6: Final answer
    x = 567,965.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.