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Finding the Third Proportional to 204,818 and 313,463

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Solution

The third proportional to 204,818 and 313,463 is: 479,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,818 : 313,463 = 313,463 : x
  2. Step 2: Convert to fraction form
    204,818/313,463 = 313,463/x
  3. Step 3: Cross multiply
    204,818x = 313,463 × 313,463
  4. Step 4: Simplify right side
    204,818x = 98,259,052,369
  5. Step 5: Solve for x
    x = 98,259,052,369/204,818
  6. Step 6: Final answer
    x = 479,738.36

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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.