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Finding the Third Proportional to 12,879.56 and 27,142.88

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Solution

The third proportional to 12,879.56 and 27,142.88 is: 57,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,879.56 : 27,142.88 = 27,142.88 : x
  2. Step 2: Convert to fraction form
    12,879.56/27,142.88 = 27,142.88/x
  3. Step 3: Cross multiply
    12,879.56x = 27,142.88 × 27,142.88
  4. Step 4: Simplify right side
    12,879.56x = 736,735,663.27
  5. Step 5: Solve for x
    x = 736,735,663.27/12,879.56
  6. Step 6: Final answer
    x = 57,201.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.