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Finding the Third Proportional to 18,255 and 39,422

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Solution

The third proportional to 18,255 and 39,422 is: 85,132.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,255 : 39,422 = 39,422 : x
  2. Step 2: Convert to fraction form
    18,255/39,422 = 39,422/x
  3. Step 3: Cross multiply
    18,255x = 39,422 × 39,422
  4. Step 4: Simplify right side
    18,255x = 1,554,094,084
  5. Step 5: Solve for x
    x = 1,554,094,084/18,255
  6. Step 6: Final answer
    x = 85,132.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.