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Finding the Third Proportional to 81,467 and 122,722

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Solution

The third proportional to 81,467 and 122,722 is: 184,868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,467 : 122,722 = 122,722 : x
  2. Step 2: Convert to fraction form
    81,467/122,722 = 122,722/x
  3. Step 3: Cross multiply
    81,467x = 122,722 × 122,722
  4. Step 4: Simplify right side
    81,467x = 15,060,689,284
  5. Step 5: Solve for x
    x = 15,060,689,284/81,467
  6. Step 6: Final answer
    x = 184,868.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.