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Finding the Third Proportional to 8,618.06 and 13,177.69

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Solution

The third proportional to 8,618.06 and 13,177.69 is: 20,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,618.06 : 13,177.69 = 13,177.69 : x
  2. Step 2: Convert to fraction form
    8,618.06/13,177.69 = 13,177.69/x
  3. Step 3: Cross multiply
    8,618.06x = 13,177.69 × 13,177.69
  4. Step 4: Simplify right side
    8,618.06x = 173,651,447.85
  5. Step 5: Solve for x
    x = 173,651,447.85/8,618.06
  6. Step 6: Final answer
    x = 20,149.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.