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Finding the Third Proportional to 321,119.02 and 699,449.34

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Solution

The third proportional to 321,119.02 and 699,449.34 is: 1,523,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,119.02 : 699,449.34 = 699,449.34 : x
  2. Step 2: Convert to fraction form
    321,119.02/699,449.34 = 699,449.34/x
  3. Step 3: Cross multiply
    321,119.02x = 699,449.34 × 699,449.34
  4. Step 4: Simplify right side
    321,119.02x = 489,229,384,472.31
  5. Step 5: Solve for x
    x = 489,229,384,472.31/321,119.02
  6. Step 6: Final answer
    x = 1,523,514.21

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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.