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Finding the Third Proportional to 11,793 and 25,422.75

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Solution

The third proportional to 11,793 and 25,422.75 is: 54,805.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793 : 25,422.75 = 25,422.75 : x
  2. Step 2: Convert to fraction form
    11,793/25,422.75 = 25,422.75/x
  3. Step 3: Cross multiply
    11,793x = 25,422.75 × 25,422.75
  4. Step 4: Simplify right side
    11,793x = 646,316,217.56
  5. Step 5: Solve for x
    x = 646,316,217.56/11,793
  6. Step 6: Final answer
    x = 54,805.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.