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Finding the Third Proportional to 84,519 and 131,623

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Solution

The third proportional to 84,519 and 131,623 is: 204,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,519 : 131,623 = 131,623 : x
  2. Step 2: Convert to fraction form
    84,519/131,623 = 131,623/x
  3. Step 3: Cross multiply
    84,519x = 131,623 × 131,623
  4. Step 4: Simplify right side
    84,519x = 17,324,614,129
  5. Step 5: Solve for x
    x = 17,324,614,129/84,519
  6. Step 6: Final answer
    x = 204,978.93

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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.