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Finding the Third Proportional to 81,938 and 122,385

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Solution

The third proportional to 81,938 and 122,385 is: 182,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,938 : 122,385 = 122,385 : x
  2. Step 2: Convert to fraction form
    81,938/122,385 = 122,385/x
  3. Step 3: Cross multiply
    81,938x = 122,385 × 122,385
  4. Step 4: Simplify right side
    81,938x = 14,978,088,225
  5. Step 5: Solve for x
    x = 14,978,088,225/81,938
  6. Step 6: Final answer
    x = 182,797.83

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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.