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Finding the Third Proportional to 324,816 and 485,580

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Solution

The third proportional to 324,816 and 485,580 is: 725,912.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,816 : 485,580 = 485,580 : x
  2. Step 2: Convert to fraction form
    324,816/485,580 = 485,580/x
  3. Step 3: Cross multiply
    324,816x = 485,580 × 485,580
  4. Step 4: Simplify right side
    324,816x = 235,787,936,400
  5. Step 5: Solve for x
    x = 235,787,936,400/324,816
  6. Step 6: Final answer
    x = 725,912.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.