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Finding the Third Proportional to 38,078 and 81,990

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Solution

The third proportional to 38,078 and 81,990 is: 176,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,078 : 81,990 = 81,990 : x
  2. Step 2: Convert to fraction form
    38,078/81,990 = 81,990/x
  3. Step 3: Cross multiply
    38,078x = 81,990 × 81,990
  4. Step 4: Simplify right side
    38,078x = 6,722,360,100
  5. Step 5: Solve for x
    x = 6,722,360,100/38,078
  6. Step 6: Final answer
    x = 176,541.84

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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.