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Finding the Third Proportional to 81,553.88 and 179,145.75

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Solution

The third proportional to 81,553.88 and 179,145.75 is: 393,521.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,553.88 : 179,145.75 = 179,145.75 : x
  2. Step 2: Convert to fraction form
    81,553.88/179,145.75 = 179,145.75/x
  3. Step 3: Cross multiply
    81,553.88x = 179,145.75 × 179,145.75
  4. Step 4: Simplify right side
    81,553.88x = 32,093,199,743.06
  5. Step 5: Solve for x
    x = 32,093,199,743.06/81,553.88
  6. Step 6: Final answer
    x = 393,521.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.