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Finding the Third Proportional to 324,996 and 724,678

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Solution

The third proportional to 324,996 and 724,678 is: 1,615,891.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,996 : 724,678 = 724,678 : x
  2. Step 2: Convert to fraction form
    324,996/724,678 = 724,678/x
  3. Step 3: Cross multiply
    324,996x = 724,678 × 724,678
  4. Step 4: Simplify right side
    324,996x = 525,158,203,684
  5. Step 5: Solve for x
    x = 525,158,203,684/324,996
  6. Step 6: Final answer
    x = 1,615,891.28

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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.