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Finding the Third Proportional to 20,442 and 27,276

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Solution

The third proportional to 20,442 and 27,276 is: 36,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,442 : 27,276 = 27,276 : x
  2. Step 2: Convert to fraction form
    20,442/27,276 = 27,276/x
  3. Step 3: Cross multiply
    20,442x = 27,276 × 27,276
  4. Step 4: Simplify right side
    20,442x = 743,980,176
  5. Step 5: Solve for x
    x = 743,980,176/20,442
  6. Step 6: Final answer
    x = 36,394.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.