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Finding the Third Proportional to 204,474 and 313,853

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Solution

The third proportional to 204,474 and 313,853 is: 481,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,474 : 313,853 = 313,853 : x
  2. Step 2: Convert to fraction form
    204,474/313,853 = 313,853/x
  3. Step 3: Cross multiply
    204,474x = 313,853 × 313,853
  4. Step 4: Simplify right side
    204,474x = 98,503,705,609
  5. Step 5: Solve for x
    x = 98,503,705,609/204,474
  6. Step 6: Final answer
    x = 481,741.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.