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Finding the Third Proportional to 321,612 and 485,694

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Solution

The third proportional to 321,612 and 485,694 is: 733,488.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,612 : 485,694 = 485,694 : x
  2. Step 2: Convert to fraction form
    321,612/485,694 = 485,694/x
  3. Step 3: Cross multiply
    321,612x = 485,694 × 485,694
  4. Step 4: Simplify right side
    321,612x = 235,898,661,636
  5. Step 5: Solve for x
    x = 235,898,661,636/321,612
  6. Step 6: Final answer
    x = 733,488.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.