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Finding the Third Proportional to 329,321.25 and 684,481.50

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Solution

The third proportional to 329,321.25 and 684,481.50 is: 1,422,668.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,321.25 : 684,481.50 = 684,481.50 : x
  2. Step 2: Convert to fraction form
    329,321.25/684,481.50 = 684,481.50/x
  3. Step 3: Cross multiply
    329,321.25x = 684,481.50 × 684,481.50
  4. Step 4: Simplify right side
    329,321.25x = 468,514,923,842.25
  5. Step 5: Solve for x
    x = 468,514,923,842.25/329,321.25
  6. Step 6: Final answer
    x = 1,422,668.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.