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Finding the Third Proportional to 38,226 and 81,078

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Solution

The third proportional to 38,226 and 81,078 is: 171,967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,226 : 81,078 = 81,078 : x
  2. Step 2: Convert to fraction form
    38,226/81,078 = 81,078/x
  3. Step 3: Cross multiply
    38,226x = 81,078 × 81,078
  4. Step 4: Simplify right side
    38,226x = 6,573,642,084
  5. Step 5: Solve for x
    x = 6,573,642,084/38,226
  6. Step 6: Final answer
    x = 171,967.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.