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Finding the Third Proportional to 38,976 and 84,180

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Solution

The third proportional to 38,976 and 84,180 is: 181,811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,976 : 84,180 = 84,180 : x
  2. Step 2: Convert to fraction form
    38,976/84,180 = 84,180/x
  3. Step 3: Cross multiply
    38,976x = 84,180 × 84,180
  4. Step 4: Simplify right side
    38,976x = 7,086,272,400
  5. Step 5: Solve for x
    x = 7,086,272,400/38,976
  6. Step 6: Final answer
    x = 181,811.18

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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.