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Finding the Third Proportional to 55,204 and 66,422

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Solution

The third proportional to 55,204 and 66,422 is: 79,919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,204 : 66,422 = 66,422 : x
  2. Step 2: Convert to fraction form
    55,204/66,422 = 66,422/x
  3. Step 3: Cross multiply
    55,204x = 66,422 × 66,422
  4. Step 4: Simplify right side
    55,204x = 4,411,882,084
  5. Step 5: Solve for x
    x = 4,411,882,084/55,204
  6. Step 6: Final answer
    x = 79,919.61

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.