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Finding the Third Proportional to 11,886 and 18,491

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Solution

The third proportional to 11,886 and 18,491 is: 28,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886 : 18,491 = 18,491 : x
  2. Step 2: Convert to fraction form
    11,886/18,491 = 18,491/x
  3. Step 3: Cross multiply
    11,886x = 18,491 × 18,491
  4. Step 4: Simplify right side
    11,886x = 341,917,081
  5. Step 5: Solve for x
    x = 341,917,081/11,886
  6. Step 6: Final answer
    x = 28,766.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.