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Finding the Third Proportional to 6,333.19 and 8,226.56

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Solution

The third proportional to 6,333.19 and 8,226.56 is: 10,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.19 : 8,226.56 = 8,226.56 : x
  2. Step 2: Convert to fraction form
    6,333.19/8,226.56 = 8,226.56/x
  3. Step 3: Cross multiply
    6,333.19x = 8,226.56 × 8,226.56
  4. Step 4: Simplify right side
    6,333.19x = 67,676,330.57
  5. Step 5: Solve for x
    x = 67,676,330.57/6,333.19
  6. Step 6: Final answer
    x = 10,685.98

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.