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Finding the Third Proportional to 223,831 and 485,512

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Solution

The third proportional to 223,831 and 485,512 is: 1,053,124.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,831 : 485,512 = 485,512 : x
  2. Step 2: Convert to fraction form
    223,831/485,512 = 485,512/x
  3. Step 3: Cross multiply
    223,831x = 485,512 × 485,512
  4. Step 4: Simplify right side
    223,831x = 235,721,902,144
  5. Step 5: Solve for x
    x = 235,721,902,144/223,831
  6. Step 6: Final answer
    x = 1,053,124.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.