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Finding the Third Proportional to 204,003 and 316,661

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Solution

The third proportional to 204,003 and 316,661 is: 491,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,003 : 316,661 = 316,661 : x
  2. Step 2: Convert to fraction form
    204,003/316,661 = 316,661/x
  3. Step 3: Cross multiply
    204,003x = 316,661 × 316,661
  4. Step 4: Simplify right side
    204,003x = 100,274,188,921
  5. Step 5: Solve for x
    x = 100,274,188,921/204,003
  6. Step 6: Final answer
    x = 491,532.91

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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.