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Finding the Third Proportional to 131,823 and 204,287

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Solution

The third proportional to 131,823 and 204,287 is: 316,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,823 : 204,287 = 204,287 : x
  2. Step 2: Convert to fraction form
    131,823/204,287 = 204,287/x
  3. Step 3: Cross multiply
    131,823x = 204,287 × 204,287
  4. Step 4: Simplify right side
    131,823x = 41,733,178,369
  5. Step 5: Solve for x
    x = 41,733,178,369/131,823
  6. Step 6: Final answer
    x = 316,584.95

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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.