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Finding the Third Proportional to 321,805 and 694,195

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Solution

The third proportional to 321,805 and 694,195 is: 1,497,511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,805 : 694,195 = 694,195 : x
  2. Step 2: Convert to fraction form
    321,805/694,195 = 694,195/x
  3. Step 3: Cross multiply
    321,805x = 694,195 × 694,195
  4. Step 4: Simplify right side
    321,805x = 481,906,698,025
  5. Step 5: Solve for x
    x = 481,906,698,025/321,805
  6. Step 6: Final answer
    x = 1,497,511.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.