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Finding the Third Proportional to 11,200.78 and 25,044.19

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Solution

The third proportional to 11,200.78 and 25,044.19 is: 55,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.78 : 25,044.19 = 25,044.19 : x
  2. Step 2: Convert to fraction form
    11,200.78/25,044.19 = 25,044.19/x
  3. Step 3: Cross multiply
    11,200.78x = 25,044.19 × 25,044.19
  4. Step 4: Simplify right side
    11,200.78x = 627,211,327.54
  5. Step 5: Solve for x
    x = 627,211,327.54/11,200.78
  6. Step 6: Final answer
    x = 55,997.11

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.