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Finding the Third Proportional to 11,469 and 18,661

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Solution

The third proportional to 11,469 and 18,661 is: 30,362.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469 : 18,661 = 18,661 : x
  2. Step 2: Convert to fraction form
    11,469/18,661 = 18,661/x
  3. Step 3: Cross multiply
    11,469x = 18,661 × 18,661
  4. Step 4: Simplify right side
    11,469x = 348,232,921
  5. Step 5: Solve for x
    x = 348,232,921/11,469
  6. Step 6: Final answer
    x = 30,362.97

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.