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Finding the Third Proportional to 8,114.91 and 12,139.97

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Solution

The third proportional to 8,114.91 and 12,139.97 is: 18,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.91 : 12,139.97 = 12,139.97 : x
  2. Step 2: Convert to fraction form
    8,114.91/12,139.97 = 12,139.97/x
  3. Step 3: Cross multiply
    8,114.91x = 12,139.97 × 12,139.97
  4. Step 4: Simplify right side
    8,114.91x = 147,378,841.25
  5. Step 5: Solve for x
    x = 147,378,841.25/8,114.91
  6. Step 6: Final answer
    x = 18,161.50

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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.