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Finding the Third Proportional to 5,552.09 and 11,867.34

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Solution

The third proportional to 5,552.09 and 11,867.34 is: 25,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,552.09 : 11,867.34 = 11,867.34 : x
  2. Step 2: Convert to fraction form
    5,552.09/11,867.34 = 11,867.34/x
  3. Step 3: Cross multiply
    5,552.09x = 11,867.34 × 11,867.34
  4. Step 4: Simplify right side
    5,552.09x = 140,833,847.68
  5. Step 5: Solve for x
    x = 140,833,847.68/5,552.09
  6. Step 6: Final answer
    x = 25,365.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.