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Finding the Third Proportional to 38,519 and 80,764

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Solution

The third proportional to 38,519 and 80,764 is: 169,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,519 : 80,764 = 80,764 : x
  2. Step 2: Convert to fraction form
    38,519/80,764 = 80,764/x
  3. Step 3: Cross multiply
    38,519x = 80,764 × 80,764
  4. Step 4: Simplify right side
    38,519x = 6,522,823,696
  5. Step 5: Solve for x
    x = 6,522,823,696/38,519
  6. Step 6: Final answer
    x = 169,340.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.