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Finding the Third Proportional to 131,823 and 284,382

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Solution

The third proportional to 131,823 and 284,382 is: 613,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,823 : 284,382 = 284,382 : x
  2. Step 2: Convert to fraction form
    131,823/284,382 = 284,382/x
  3. Step 3: Cross multiply
    131,823x = 284,382 × 284,382
  4. Step 4: Simplify right side
    131,823x = 80,873,121,924
  5. Step 5: Solve for x
    x = 80,873,121,924/131,823
  6. Step 6: Final answer
    x = 613,497.81

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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.