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Finding the Third Proportional to 38,286 and 81,498

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Solution

The third proportional to 38,286 and 81,498 is: 173,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286 : 81,498 = 81,498 : x
  2. Step 2: Convert to fraction form
    38,286/81,498 = 81,498/x
  3. Step 3: Cross multiply
    38,286x = 81,498 × 81,498
  4. Step 4: Simplify right side
    38,286x = 6,641,924,004
  5. Step 5: Solve for x
    x = 6,641,924,004/38,286
  6. Step 6: Final answer
    x = 173,481.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.