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Finding the Third Proportional to 81,556.88 and 179,663.06

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Solution

The third proportional to 81,556.88 and 179,663.06 is: 395,782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,556.88 : 179,663.06 = 179,663.06 : x
  2. Step 2: Convert to fraction form
    81,556.88/179,663.06 = 179,663.06/x
  3. Step 3: Cross multiply
    81,556.88x = 179,663.06 × 179,663.06
  4. Step 4: Simplify right side
    81,556.88x = 32,278,816,026.88
  5. Step 5: Solve for x
    x = 32,278,816,026.88/81,556.88
  6. Step 6: Final answer
    x = 395,782.89

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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.