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Finding the Third Proportional to 20,281 and 27,128

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Solution

The third proportional to 20,281 and 27,128 is: 36,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281 : 27,128 = 27,128 : x
  2. Step 2: Convert to fraction form
    20,281/27,128 = 27,128/x
  3. Step 3: Cross multiply
    20,281x = 27,128 × 27,128
  4. Step 4: Simplify right side
    20,281x = 735,928,384
  5. Step 5: Solve for x
    x = 735,928,384/20,281
  6. Step 6: Final answer
    x = 36,286.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.