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Finding the Third Proportional to 81,556.88 and 177,121.69

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Solution

The third proportional to 81,556.88 and 177,121.69 is: 384,665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,556.88 : 177,121.69 = 177,121.69 : x
  2. Step 2: Convert to fraction form
    81,556.88/177,121.69 = 177,121.69/x
  3. Step 3: Cross multiply
    81,556.88x = 177,121.69 × 177,121.69
  4. Step 4: Simplify right side
    81,556.88x = 31,372,092,182.85
  5. Step 5: Solve for x
    x = 31,372,092,182.85/81,556.88
  6. Step 6: Final answer
    x = 384,665.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.