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Finding the Third Proportional to 321,725.44 and 699,475.88

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Solution

The third proportional to 321,725.44 and 699,475.88 is: 1,520,757.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,725.44 : 699,475.88 = 699,475.88 : x
  2. Step 2: Convert to fraction form
    321,725.44/699,475.88 = 699,475.88/x
  3. Step 3: Cross multiply
    321,725.44x = 699,475.88 × 699,475.88
  4. Step 4: Simplify right side
    321,725.44x = 489,266,499,707.02
  5. Step 5: Solve for x
    x = 489,266,499,707.02/321,725.44
  6. Step 6: Final answer
    x = 1,520,757.90

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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.