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Finding the Third Proportional to 321,118.17 and 699,447.66

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Solution

The third proportional to 321,118.17 and 699,447.66 is: 1,523,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,118.17 : 699,447.66 = 699,447.66 : x
  2. Step 2: Convert to fraction form
    321,118.17/699,447.66 = 699,447.66/x
  3. Step 3: Cross multiply
    321,118.17x = 699,447.66 × 699,447.66
  4. Step 4: Simplify right side
    321,118.17x = 489,227,023,833.62
  5. Step 5: Solve for x
    x = 489,227,023,833.62/321,118.17
  6. Step 6: Final answer
    x = 1,523,510.87

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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.