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Finding the Third Proportional to 204,945 and 313,636

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Solution

The third proportional to 204,945 and 313,636 is: 479,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,945 : 313,636 = 313,636 : x
  2. Step 2: Convert to fraction form
    204,945/313,636 = 313,636/x
  3. Step 3: Cross multiply
    204,945x = 313,636 × 313,636
  4. Step 4: Simplify right side
    204,945x = 98,367,540,496
  5. Step 5: Solve for x
    x = 98,367,540,496/204,945
  6. Step 6: Final answer
    x = 479,970.43

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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.