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Finding the Third Proportional to 21,224 and 27,836

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Solution

The third proportional to 21,224 and 27,836 is: 36,507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224 : 27,836 = 27,836 : x
  2. Step 2: Convert to fraction form
    21,224/27,836 = 27,836/x
  3. Step 3: Cross multiply
    21,224x = 27,836 × 27,836
  4. Step 4: Simplify right side
    21,224x = 774,842,896
  5. Step 5: Solve for x
    x = 774,842,896/21,224
  6. Step 6: Final answer
    x = 36,507.86

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.