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Finding the Third Proportional to 11,785.38 and 25,579.75

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Solution

The third proportional to 11,785.38 and 25,579.75 is: 55,519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.38 : 25,579.75 = 25,579.75 : x
  2. Step 2: Convert to fraction form
    11,785.38/25,579.75 = 25,579.75/x
  3. Step 3: Cross multiply
    11,785.38x = 25,579.75 × 25,579.75
  4. Step 4: Simplify right side
    11,785.38x = 654,323,610.06
  5. Step 5: Solve for x
    x = 654,323,610.06/11,785.38
  6. Step 6: Final answer
    x = 55,519.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.