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Finding the Third Proportional to 321,982 and 699,273

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Solution

The third proportional to 321,982 and 699,273 is: 1,518,664.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,982 : 699,273 = 699,273 : x
  2. Step 2: Convert to fraction form
    321,982/699,273 = 699,273/x
  3. Step 3: Cross multiply
    321,982x = 699,273 × 699,273
  4. Step 4: Simplify right side
    321,982x = 488,982,728,529
  5. Step 5: Solve for x
    x = 488,982,728,529/321,982
  6. Step 6: Final answer
    x = 1,518,664.80

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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.