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Finding the Third Proportional to 321,961.50 and 699,327

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Solution

The third proportional to 321,961.50 and 699,327 is: 1,518,996.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,961.50 : 699,327 = 699,327 : x
  2. Step 2: Convert to fraction form
    321,961.50/699,327 = 699,327/x
  3. Step 3: Cross multiply
    321,961.50x = 699,327 × 699,327
  4. Step 4: Simplify right side
    321,961.50x = 489,058,252,929
  5. Step 5: Solve for x
    x = 489,058,252,929/321,961.50
  6. Step 6: Final answer
    x = 1,518,996.07

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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.