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Finding the Third Proportional to 324,990 and 724,664.25

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Solution

The third proportional to 324,990 and 724,664.25 is: 1,615,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,990 : 724,664.25 = 724,664.25 : x
  2. Step 2: Convert to fraction form
    324,990/724,664.25 = 724,664.25/x
  3. Step 3: Cross multiply
    324,990x = 724,664.25 × 724,664.25
  4. Step 4: Simplify right side
    324,990x = 525,138,275,228.06
  5. Step 5: Solve for x
    x = 525,138,275,228.06/324,990
  6. Step 6: Final answer
    x = 1,615,859.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.