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Finding the Third Proportional to 324,864 and 487,296

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Solution

The third proportional to 324,864 and 487,296 is: 730,944

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,864 : 487,296 = 487,296 : x
  2. Step 2: Convert to fraction form
    324,864/487,296 = 487,296/x
  3. Step 3: Cross multiply
    324,864x = 487,296 × 487,296
  4. Step 4: Simplify right side
    324,864x = 237,457,391,616
  5. Step 5: Solve for x
    x = 237,457,391,616/324,864
  6. Step 6: Final answer
    x = 730,944

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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.