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Finding the Third Proportional to 7,806.38 and 17,217.56

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Solution

The third proportional to 7,806.38 and 17,217.56 is: 37,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.38 : 17,217.56 = 17,217.56 : x
  2. Step 2: Convert to fraction form
    7,806.38/17,217.56 = 17,217.56/x
  3. Step 3: Cross multiply
    7,806.38x = 17,217.56 × 17,217.56
  4. Step 4: Simplify right side
    7,806.38x = 296,444,458.44
  5. Step 5: Solve for x
    x = 296,444,458.44/7,806.38
  6. Step 6: Final answer
    x = 37,974.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.