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Finding the Third Proportional to 13,832 and 21,453

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Solution

The third proportional to 13,832 and 21,453 is: 33,272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832 : 21,453 = 21,453 : x
  2. Step 2: Convert to fraction form
    13,832/21,453 = 21,453/x
  3. Step 3: Cross multiply
    13,832x = 21,453 × 21,453
  4. Step 4: Simplify right side
    13,832x = 460,231,209
  5. Step 5: Solve for x
    x = 460,231,209/13,832
  6. Step 6: Final answer
    x = 33,272.93

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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.