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Finding the Third Proportional to 8,731.13 and 11,206.69

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Solution

The third proportional to 8,731.13 and 11,206.69 is: 14,384.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.13 : 11,206.69 = 11,206.69 : x
  2. Step 2: Convert to fraction form
    8,731.13/11,206.69 = 11,206.69/x
  3. Step 3: Cross multiply
    8,731.13x = 11,206.69 × 11,206.69
  4. Step 4: Simplify right side
    8,731.13x = 125,589,844.72
  5. Step 5: Solve for x
    x = 125,589,844.72/8,731.13
  6. Step 6: Final answer
    x = 14,384.15

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.