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Finding the Third Proportional to 38,256 and 82,320

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Solution

The third proportional to 38,256 and 82,320 is: 177,137.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,256 : 82,320 = 82,320 : x
  2. Step 2: Convert to fraction form
    38,256/82,320 = 82,320/x
  3. Step 3: Cross multiply
    38,256x = 82,320 × 82,320
  4. Step 4: Simplify right side
    38,256x = 6,776,582,400
  5. Step 5: Solve for x
    x = 6,776,582,400/38,256
  6. Step 6: Final answer
    x = 177,137.77

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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.