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Finding the Third Proportional to 321,416.44 and 699,978.38

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Solution

The third proportional to 321,416.44 and 699,978.38 is: 1,524,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,416.44 : 699,978.38 = 699,978.38 : x
  2. Step 2: Convert to fraction form
    321,416.44/699,978.38 = 699,978.38/x
  3. Step 3: Cross multiply
    321,416.44x = 699,978.38 × 699,978.38
  4. Step 4: Simplify right side
    321,416.44x = 489,969,725,467.64
  5. Step 5: Solve for x
    x = 489,969,725,467.64/321,416.44
  6. Step 6: Final answer
    x = 1,524,407.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.