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Finding the Third Proportional to 57,222 and 120,876

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Solution

The third proportional to 57,222 and 120,876 is: 255,338.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,222 : 120,876 = 120,876 : x
  2. Step 2: Convert to fraction form
    57,222/120,876 = 120,876/x
  3. Step 3: Cross multiply
    57,222x = 120,876 × 120,876
  4. Step 4: Simplify right side
    57,222x = 14,611,007,376
  5. Step 5: Solve for x
    x = 14,611,007,376/57,222
  6. Step 6: Final answer
    x = 255,338.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.