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Finding the Third Proportional to 324,004 and 664,040

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Solution

The third proportional to 324,004 and 664,040 is: 1,360,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,004 : 664,040 = 664,040 : x
  2. Step 2: Convert to fraction form
    324,004/664,040 = 664,040/x
  3. Step 3: Cross multiply
    324,004x = 664,040 × 664,040
  4. Step 4: Simplify right side
    324,004x = 440,949,121,600
  5. Step 5: Solve for x
    x = 440,949,121,600/324,004
  6. Step 6: Final answer
    x = 1,360,937.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.