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Finding the Third Proportional to 8,107.59 and 12,161.39

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Solution

The third proportional to 8,107.59 and 12,161.39 is: 18,242.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.59 : 12,161.39 = 12,161.39 : x
  2. Step 2: Convert to fraction form
    8,107.59/12,161.39 = 12,161.39/x
  3. Step 3: Cross multiply
    8,107.59x = 12,161.39 × 12,161.39
  4. Step 4: Simplify right side
    8,107.59x = 147,899,421.93
  5. Step 5: Solve for x
    x = 147,899,421.93/8,107.59
  6. Step 6: Final answer
    x = 18,242.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.