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Finding the Third Proportional to 81,009 and 177,950

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Solution

The third proportional to 81,009 and 177,950 is: 390,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,009 : 177,950 = 177,950 : x
  2. Step 2: Convert to fraction form
    81,009/177,950 = 177,950/x
  3. Step 3: Cross multiply
    81,009x = 177,950 × 177,950
  4. Step 4: Simplify right side
    81,009x = 31,666,202,500
  5. Step 5: Solve for x
    x = 31,666,202,500/81,009
  6. Step 6: Final answer
    x = 390,897.34

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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.