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Finding the Third Proportional to 11,380 and 15,086

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Solution

The third proportional to 11,380 and 15,086 is: 19,998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380 : 15,086 = 15,086 : x
  2. Step 2: Convert to fraction form
    11,380/15,086 = 15,086/x
  3. Step 3: Cross multiply
    11,380x = 15,086 × 15,086
  4. Step 4: Simplify right side
    11,380x = 227,587,396
  5. Step 5: Solve for x
    x = 227,587,396/11,380
  6. Step 6: Final answer
    x = 19,998.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.