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Finding the Third Proportional to 131,821 and 284,378

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Solution

The third proportional to 131,821 and 284,378 is: 613,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,821 : 284,378 = 284,378 : x
  2. Step 2: Convert to fraction form
    131,821/284,378 = 284,378/x
  3. Step 3: Cross multiply
    131,821x = 284,378 × 284,378
  4. Step 4: Simplify right side
    131,821x = 80,870,846,884
  5. Step 5: Solve for x
    x = 80,870,846,884/131,821
  6. Step 6: Final answer
    x = 613,489.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.