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Finding the Third Proportional to 81,616 and 122,664

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Solution

The third proportional to 81,616 and 122,664 is: 184,356.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,616 : 122,664 = 122,664 : x
  2. Step 2: Convert to fraction form
    81,616/122,664 = 122,664/x
  3. Step 3: Cross multiply
    81,616x = 122,664 × 122,664
  4. Step 4: Simplify right side
    81,616x = 15,046,456,896
  5. Step 5: Solve for x
    x = 15,046,456,896/81,616
  6. Step 6: Final answer
    x = 184,356.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.