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Finding the Third Proportional to 324,720 and 485,760

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Solution

The third proportional to 324,720 and 485,760 is: 726,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,720 : 485,760 = 485,760 : x
  2. Step 2: Convert to fraction form
    324,720/485,760 = 485,760/x
  3. Step 3: Cross multiply
    324,720x = 485,760 × 485,760
  4. Step 4: Simplify right side
    324,720x = 235,962,777,600
  5. Step 5: Solve for x
    x = 235,962,777,600/324,720
  6. Step 6: Final answer
    x = 726,665.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.