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Finding the Third Proportional to 11,787 and 18,090.75

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Solution

The third proportional to 11,787 and 18,090.75 is: 27,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787 : 18,090.75 = 18,090.75 : x
  2. Step 2: Convert to fraction form
    11,787/18,090.75 = 18,090.75/x
  3. Step 3: Cross multiply
    11,787x = 18,090.75 × 18,090.75
  4. Step 4: Simplify right side
    11,787x = 327,275,235.56
  5. Step 5: Solve for x
    x = 327,275,235.56/11,787
  6. Step 6: Final answer
    x = 27,765.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.