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Finding the Third Proportional to 38,078 and 81,826

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Solution

The third proportional to 38,078 and 81,826 is: 175,836.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,078 : 81,826 = 81,826 : x
  2. Step 2: Convert to fraction form
    38,078/81,826 = 81,826/x
  3. Step 3: Cross multiply
    38,078x = 81,826 × 81,826
  4. Step 4: Simplify right side
    38,078x = 6,695,494,276
  5. Step 5: Solve for x
    x = 6,695,494,276/38,078
  6. Step 6: Final answer
    x = 175,836.29

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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.