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Finding the Third Proportional to 11,949 and 18,666

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Solution

The third proportional to 11,949 and 18,666 is: 29,158.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949 : 18,666 = 18,666 : x
  2. Step 2: Convert to fraction form
    11,949/18,666 = 18,666/x
  3. Step 3: Cross multiply
    11,949x = 18,666 × 18,666
  4. Step 4: Simplify right side
    11,949x = 348,419,556
  5. Step 5: Solve for x
    x = 348,419,556/11,949
  6. Step 6: Final answer
    x = 29,158.89

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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.