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Finding the Third Proportional to 13,829 and 21,269

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Solution

The third proportional to 13,829 and 21,269 is: 32,711.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829 : 21,269 = 21,269 : x
  2. Step 2: Convert to fraction form
    13,829/21,269 = 21,269/x
  3. Step 3: Cross multiply
    13,829x = 21,269 × 21,269
  4. Step 4: Simplify right side
    13,829x = 452,370,361
  5. Step 5: Solve for x
    x = 452,370,361/13,829
  6. Step 6: Final answer
    x = 32,711.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.