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Finding the Third Proportional to 38,320 and 80,128

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Solution

The third proportional to 38,320 and 80,128 is: 167,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,320 : 80,128 = 80,128 : x
  2. Step 2: Convert to fraction form
    38,320/80,128 = 80,128/x
  3. Step 3: Cross multiply
    38,320x = 80,128 × 80,128
  4. Step 4: Simplify right side
    38,320x = 6,420,496,384
  5. Step 5: Solve for x
    x = 6,420,496,384/38,320
  6. Step 6: Final answer
    x = 167,549.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.