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Finding the Third Proportional to 84,517 and 131,621

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Solution

The third proportional to 84,517 and 131,621 is: 204,977.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,517 : 131,621 = 131,621 : x
  2. Step 2: Convert to fraction form
    84,517/131,621 = 131,621/x
  3. Step 3: Cross multiply
    84,517x = 131,621 × 131,621
  4. Step 4: Simplify right side
    84,517x = 17,324,087,641
  5. Step 5: Solve for x
    x = 17,324,087,641/84,517
  6. Step 6: Final answer
    x = 204,977.55

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.