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Finding the Third Proportional to 11,182 and 15,645

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Solution

The third proportional to 11,182 and 15,645 is: 21,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,182 : 15,645 = 15,645 : x
  2. Step 2: Convert to fraction form
    11,182/15,645 = 15,645/x
  3. Step 3: Cross multiply
    11,182x = 15,645 × 15,645
  4. Step 4: Simplify right side
    11,182x = 244,766,025
  5. Step 5: Solve for x
    x = 244,766,025/11,182
  6. Step 6: Final answer
    x = 21,889.29

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.