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Finding the Third Proportional to 131,376 and 203,811

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Solution

The third proportional to 131,376 and 203,811 is: 316,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,376 : 203,811 = 203,811 : x
  2. Step 2: Convert to fraction form
    131,376/203,811 = 203,811/x
  3. Step 3: Cross multiply
    131,376x = 203,811 × 203,811
  4. Step 4: Simplify right side
    131,376x = 41,538,923,721
  5. Step 5: Solve for x
    x = 41,538,923,721/131,376
  6. Step 6: Final answer
    x = 316,183.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.