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Finding the Third Proportional to 321,810 and 694,203

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Solution

The third proportional to 321,810 and 694,203 is: 1,497,522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,810 : 694,203 = 694,203 : x
  2. Step 2: Convert to fraction form
    321,810/694,203 = 694,203/x
  3. Step 3: Cross multiply
    321,810x = 694,203 × 694,203
  4. Step 4: Simplify right side
    321,810x = 481,917,805,209
  5. Step 5: Solve for x
    x = 481,917,805,209/321,810
  6. Step 6: Final answer
    x = 1,497,522.78

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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.