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Finding the Third Proportional to 81,467 and 122,723

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Solution

The third proportional to 81,467 and 122,723 is: 184,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,467 : 122,723 = 122,723 : x
  2. Step 2: Convert to fraction form
    81,467/122,723 = 122,723/x
  3. Step 3: Cross multiply
    81,467x = 122,723 × 122,723
  4. Step 4: Simplify right side
    81,467x = 15,060,934,729
  5. Step 5: Solve for x
    x = 15,060,934,729/81,467
  6. Step 6: Final answer
    x = 184,871.60

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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.