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Finding the Third Proportional to 18,256 and 39,279.25

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Solution

The third proportional to 18,256 and 39,279.25 is: 84,512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,256 : 39,279.25 = 39,279.25 : x
  2. Step 2: Convert to fraction form
    18,256/39,279.25 = 39,279.25/x
  3. Step 3: Cross multiply
    18,256x = 39,279.25 × 39,279.25
  4. Step 4: Simplify right side
    18,256x = 1,542,859,480.56
  5. Step 5: Solve for x
    x = 1,542,859,480.56/18,256
  6. Step 6: Final answer
    x = 84,512.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.