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Finding the Third Proportional to 321,906.66 and 693,635.91

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Solution

The third proportional to 321,906.66 and 693,635.91 is: 1,494,628.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,906.66 : 693,635.91 = 693,635.91 : x
  2. Step 2: Convert to fraction form
    321,906.66/693,635.91 = 693,635.91/x
  3. Step 3: Cross multiply
    321,906.66x = 693,635.91 × 693,635.91
  4. Step 4: Simplify right side
    321,906.66x = 481,130,770,439.26
  5. Step 5: Solve for x
    x = 481,130,770,439.26/321,906.66
  6. Step 6: Final answer
    x = 1,494,628.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.