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Finding the Third Proportional to 13,890 and 21,544

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Solution

The third proportional to 13,890 and 21,544 is: 33,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,890 : 21,544 = 21,544 : x
  2. Step 2: Convert to fraction form
    13,890/21,544 = 21,544/x
  3. Step 3: Cross multiply
    13,890x = 21,544 × 21,544
  4. Step 4: Simplify right side
    13,890x = 464,143,936
  5. Step 5: Solve for x
    x = 464,143,936/13,890
  6. Step 6: Final answer
    x = 33,415.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.