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Finding the Third Proportional to 38,590 and 81,917

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Solution

The third proportional to 38,590 and 81,917 is: 173,889.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,590 : 81,917 = 81,917 : x
  2. Step 2: Convert to fraction form
    38,590/81,917 = 81,917/x
  3. Step 3: Cross multiply
    38,590x = 81,917 × 81,917
  4. Step 4: Simplify right side
    38,590x = 6,710,394,889
  5. Step 5: Solve for x
    x = 6,710,394,889/38,590
  6. Step 6: Final answer
    x = 173,889.48

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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.