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Finding the Third Proportional to 204,057 and 316,741

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Solution

The third proportional to 204,057 and 316,741 is: 491,651.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,057 : 316,741 = 316,741 : x
  2. Step 2: Convert to fraction form
    204,057/316,741 = 316,741/x
  3. Step 3: Cross multiply
    204,057x = 316,741 × 316,741
  4. Step 4: Simplify right side
    204,057x = 100,324,861,081
  5. Step 5: Solve for x
    x = 100,324,861,081/204,057
  6. Step 6: Final answer
    x = 491,651.16

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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.