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Finding the Third Proportional to 11,533 and 18,109

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Solution

The third proportional to 11,533 and 18,109 is: 28,434.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,533 : 18,109 = 18,109 : x
  2. Step 2: Convert to fraction form
    11,533/18,109 = 18,109/x
  3. Step 3: Cross multiply
    11,533x = 18,109 × 18,109
  4. Step 4: Simplify right side
    11,533x = 327,935,881
  5. Step 5: Solve for x
    x = 327,935,881/11,533
  6. Step 6: Final answer
    x = 28,434.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.