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Finding the Third Proportional to 81,907 and 168,320

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Solution

The third proportional to 81,907 and 168,320 is: 345,899.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,907 : 168,320 = 168,320 : x
  2. Step 2: Convert to fraction form
    81,907/168,320 = 168,320/x
  3. Step 3: Cross multiply
    81,907x = 168,320 × 168,320
  4. Step 4: Simplify right side
    81,907x = 28,331,622,400
  5. Step 5: Solve for x
    x = 28,331,622,400/81,907
  6. Step 6: Final answer
    x = 345,899.89

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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.