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Finding the Third Proportional to 20,286 and 27,378

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Solution

The third proportional to 20,286 and 27,378 is: 36,949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,286 : 27,378 = 27,378 : x
  2. Step 2: Convert to fraction form
    20,286/27,378 = 27,378/x
  3. Step 3: Cross multiply
    20,286x = 27,378 × 27,378
  4. Step 4: Simplify right side
    20,286x = 749,554,884
  5. Step 5: Solve for x
    x = 749,554,884/20,286
  6. Step 6: Final answer
    x = 36,949.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.