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Finding the Third Proportional to 81,175.50 and 179,865

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Solution

The third proportional to 81,175.50 and 179,865 is: 398,536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,175.50 : 179,865 = 179,865 : x
  2. Step 2: Convert to fraction form
    81,175.50/179,865 = 179,865/x
  3. Step 3: Cross multiply
    81,175.50x = 179,865 × 179,865
  4. Step 4: Simplify right side
    81,175.50x = 32,351,418,225
  5. Step 5: Solve for x
    x = 32,351,418,225/81,175.50
  6. Step 6: Final answer
    x = 398,536.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.