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Finding the Third Proportional to 81,909 and 168,324

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Solution

The third proportional to 81,909 and 168,324 is: 345,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,909 : 168,324 = 168,324 : x
  2. Step 2: Convert to fraction form
    81,909/168,324 = 168,324/x
  3. Step 3: Cross multiply
    81,909x = 168,324 × 168,324
  4. Step 4: Simplify right side
    81,909x = 28,332,968,976
  5. Step 5: Solve for x
    x = 28,332,968,976/81,909
  6. Step 6: Final answer
    x = 345,907.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.