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Finding the Third Proportional to 11,911 and 18,845

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Solution

The third proportional to 11,911 and 18,845 is: 29,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911 : 18,845 = 18,845 : x
  2. Step 2: Convert to fraction form
    11,911/18,845 = 18,845/x
  3. Step 3: Cross multiply
    11,911x = 18,845 × 18,845
  4. Step 4: Simplify right side
    11,911x = 355,134,025
  5. Step 5: Solve for x
    x = 355,134,025/11,911
  6. Step 6: Final answer
    x = 29,815.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.