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Finding the Third Proportional to 321,859.41 and 699,023.25

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Solution

The third proportional to 321,859.41 and 699,023.25 is: 1,518,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,859.41 : 699,023.25 = 699,023.25 : x
  2. Step 2: Convert to fraction form
    321,859.41/699,023.25 = 699,023.25/x
  3. Step 3: Cross multiply
    321,859.41x = 699,023.25 × 699,023.25
  4. Step 4: Simplify right side
    321,859.41x = 488,633,504,040.56
  5. Step 5: Solve for x
    x = 488,633,504,040.56/321,859.41
  6. Step 6: Final answer
    x = 1,518,158.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.