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Finding the Third Proportional to 8,696.11 and 18,516.73

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Solution

The third proportional to 8,696.11 and 18,516.73 is: 39,427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,696.11 : 18,516.73 = 18,516.73 : x
  2. Step 2: Convert to fraction form
    8,696.11/18,516.73 = 18,516.73/x
  3. Step 3: Cross multiply
    8,696.11x = 18,516.73 × 18,516.73
  4. Step 4: Simplify right side
    8,696.11x = 342,869,162.59
  5. Step 5: Solve for x
    x = 342,869,162.59/8,696.11
  6. Step 6: Final answer
    x = 39,427.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.