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Finding the Third Proportional to 20,218 and 27,422

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Solution

The third proportional to 20,218 and 27,422 is: 37,192.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218 : 27,422 = 27,422 : x
  2. Step 2: Convert to fraction form
    20,218/27,422 = 27,422/x
  3. Step 3: Cross multiply
    20,218x = 27,422 × 27,422
  4. Step 4: Simplify right side
    20,218x = 751,966,084
  5. Step 5: Solve for x
    x = 751,966,084/20,218
  6. Step 6: Final answer
    x = 37,192.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.