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Finding the Third Proportional to 81,400 and 171,668

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Solution

The third proportional to 81,400 and 171,668 is: 362,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,400 : 171,668 = 171,668 : x
  2. Step 2: Convert to fraction form
    81,400/171,668 = 171,668/x
  3. Step 3: Cross multiply
    81,400x = 171,668 × 171,668
  4. Step 4: Simplify right side
    81,400x = 29,469,902,224
  5. Step 5: Solve for x
    x = 29,469,902,224/81,400
  6. Step 6: Final answer
    x = 362,038.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.