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Finding the Third Proportional to 81,600 and 122,640

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Solution

The third proportional to 81,600 and 122,640 is: 184,320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,600 : 122,640 = 122,640 : x
  2. Step 2: Convert to fraction form
    81,600/122,640 = 122,640/x
  3. Step 3: Cross multiply
    81,600x = 122,640 × 122,640
  4. Step 4: Simplify right side
    81,600x = 15,040,569,600
  5. Step 5: Solve for x
    x = 15,040,569,600/81,600
  6. Step 6: Final answer
    x = 184,320.71

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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.