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Finding the Third Proportional to 38,578 and 81,895

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Solution

The third proportional to 38,578 and 81,895 is: 173,850.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,578 : 81,895 = 81,895 : x
  2. Step 2: Convert to fraction form
    38,578/81,895 = 81,895/x
  3. Step 3: Cross multiply
    38,578x = 81,895 × 81,895
  4. Step 4: Simplify right side
    38,578x = 6,706,791,025
  5. Step 5: Solve for x
    x = 6,706,791,025/38,578
  6. Step 6: Final answer
    x = 173,850.15

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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.