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Finding the Third Proportional to 81,776 and 166,992

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Solution

The third proportional to 81,776 and 166,992 is: 341,008.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,776 : 166,992 = 166,992 : x
  2. Step 2: Convert to fraction form
    81,776/166,992 = 166,992/x
  3. Step 3: Cross multiply
    81,776x = 166,992 × 166,992
  4. Step 4: Simplify right side
    81,776x = 27,886,328,064
  5. Step 5: Solve for x
    x = 27,886,328,064/81,776
  6. Step 6: Final answer
    x = 341,008.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.