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Finding the Third Proportional to 13,860 and 33,554

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Solution

The third proportional to 13,860 and 33,554 is: 81,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860 : 33,554 = 33,554 : x
  2. Step 2: Convert to fraction form
    13,860/33,554 = 33,554/x
  3. Step 3: Cross multiply
    13,860x = 33,554 × 33,554
  4. Step 4: Simplify right side
    13,860x = 1,125,870,916
  5. Step 5: Solve for x
    x = 1,125,870,916/13,860
  6. Step 6: Final answer
    x = 81,231.67

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.