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Finding the Third Proportional to 321,208 and 699,655

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Solution

The third proportional to 321,208 and 699,655 is: 1,523,987.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,208 : 699,655 = 699,655 : x
  2. Step 2: Convert to fraction form
    321,208/699,655 = 699,655/x
  3. Step 3: Cross multiply
    321,208x = 699,655 × 699,655
  4. Step 4: Simplify right side
    321,208x = 489,517,119,025
  5. Step 5: Solve for x
    x = 489,517,119,025/321,208
  6. Step 6: Final answer
    x = 1,523,987.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.