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Finding the Third Proportional to 11,546 and 18,084

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Solution

The third proportional to 11,546 and 18,084 is: 28,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546 : 18,084 = 18,084 : x
  2. Step 2: Convert to fraction form
    11,546/18,084 = 18,084/x
  3. Step 3: Cross multiply
    11,546x = 18,084 × 18,084
  4. Step 4: Simplify right side
    11,546x = 327,031,056
  5. Step 5: Solve for x
    x = 327,031,056/11,546
  6. Step 6: Final answer
    x = 28,324.19

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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.