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Finding the Third Proportional to 11,553.75 and 17,840.11

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Solution

The third proportional to 11,553.75 and 17,840.11 is: 27,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.75 : 17,840.11 = 17,840.11 : x
  2. Step 2: Convert to fraction form
    11,553.75/17,840.11 = 17,840.11/x
  3. Step 3: Cross multiply
    11,553.75x = 17,840.11 × 17,840.11
  4. Step 4: Simplify right side
    11,553.75x = 318,269,502.51
  5. Step 5: Solve for x
    x = 318,269,502.51/11,553.75
  6. Step 6: Final answer
    x = 27,546.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.