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Finding the Third Proportional to 81,573.75 and 179,217

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Solution

The third proportional to 81,573.75 and 179,217 is: 393,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,573.75 : 179,217 = 179,217 : x
  2. Step 2: Convert to fraction form
    81,573.75/179,217 = 179,217/x
  3. Step 3: Cross multiply
    81,573.75x = 179,217 × 179,217
  4. Step 4: Simplify right side
    81,573.75x = 32,118,733,089
  5. Step 5: Solve for x
    x = 32,118,733,089/81,573.75
  6. Step 6: Final answer
    x = 393,738.59

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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.