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Finding the Third Proportional to 13,866 and 21,414

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Solution

The third proportional to 13,866 and 21,414 is: 33,070.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866 : 21,414 = 21,414 : x
  2. Step 2: Convert to fraction form
    13,866/21,414 = 21,414/x
  3. Step 3: Cross multiply
    13,866x = 21,414 × 21,414
  4. Step 4: Simplify right side
    13,866x = 458,559,396
  5. Step 5: Solve for x
    x = 458,559,396/13,866
  6. Step 6: Final answer
    x = 33,070.78

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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.