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Finding the Third Proportional to 131,823 and 204,288

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Solution

The third proportional to 131,823 and 204,288 is: 316,588.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,823 : 204,288 = 204,288 : x
  2. Step 2: Convert to fraction form
    131,823/204,288 = 204,288/x
  3. Step 3: Cross multiply
    131,823x = 204,288 × 204,288
  4. Step 4: Simplify right side
    131,823x = 41,733,586,944
  5. Step 5: Solve for x
    x = 41,733,586,944/131,823
  6. Step 6: Final answer
    x = 316,588.05

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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.