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Finding the Third Proportional to 81,905 and 127,232

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Solution

The third proportional to 81,905 and 127,232 is: 197,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,905 : 127,232 = 127,232 : x
  2. Step 2: Convert to fraction form
    81,905/127,232 = 127,232/x
  3. Step 3: Cross multiply
    81,905x = 127,232 × 127,232
  4. Step 4: Simplify right side
    81,905x = 16,187,981,824
  5. Step 5: Solve for x
    x = 16,187,981,824/81,905
  6. Step 6: Final answer
    x = 197,643.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.