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Finding the Third Proportional to 6,321.80 and 8,964.42

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Solution

The third proportional to 6,321.80 and 8,964.42 is: 12,711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.80 : 8,964.42 = 8,964.42 : x
  2. Step 2: Convert to fraction form
    6,321.80/8,964.42 = 8,964.42/x
  3. Step 3: Cross multiply
    6,321.80x = 8,964.42 × 8,964.42
  4. Step 4: Simplify right side
    6,321.80x = 80,360,859.55
  5. Step 5: Solve for x
    x = 80,360,859.55/6,321.80
  6. Step 6: Final answer
    x = 12,711.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.