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Finding the Third Proportional to 12,879.95 and 20,691.07

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Solution

The third proportional to 12,879.95 and 20,691.07 is: 33,239.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,879.95 : 20,691.07 = 20,691.07 : x
  2. Step 2: Convert to fraction form
    12,879.95/20,691.07 = 20,691.07/x
  3. Step 3: Cross multiply
    12,879.95x = 20,691.07 × 20,691.07
  4. Step 4: Simplify right side
    12,879.95x = 428,120,390.68
  5. Step 5: Solve for x
    x = 428,120,390.68/12,879.95
  6. Step 6: Final answer
    x = 33,239.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.