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Finding the Third Proportional to 8,226.56 and 11,246.06

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Solution

The third proportional to 8,226.56 and 11,246.06 is: 15,373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.56 : 11,246.06 = 11,246.06 : x
  2. Step 2: Convert to fraction form
    8,226.56/11,246.06 = 11,246.06/x
  3. Step 3: Cross multiply
    8,226.56x = 11,246.06 × 11,246.06
  4. Step 4: Simplify right side
    8,226.56x = 126,473,921.75
  5. Step 5: Solve for x
    x = 126,473,921.75/8,226.56
  6. Step 6: Final answer
    x = 15,373.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.