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Finding the Third Proportional to 81,861 and 122,286

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Solution

The third proportional to 81,861 and 122,286 is: 182,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,861 : 122,286 = 122,286 : x
  2. Step 2: Convert to fraction form
    81,861/122,286 = 122,286/x
  3. Step 3: Cross multiply
    81,861x = 122,286 × 122,286
  4. Step 4: Simplify right side
    81,861x = 14,953,865,796
  5. Step 5: Solve for x
    x = 14,953,865,796/81,861
  6. Step 6: Final answer
    x = 182,673.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.