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Finding the Third Proportional to 57,218 and 121,876

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Solution

The third proportional to 57,218 and 121,876 is: 259,599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,218 : 121,876 = 121,876 : x
  2. Step 2: Convert to fraction form
    57,218/121,876 = 121,876/x
  3. Step 3: Cross multiply
    57,218x = 121,876 × 121,876
  4. Step 4: Simplify right side
    57,218x = 14,853,759,376
  5. Step 5: Solve for x
    x = 14,853,759,376/57,218
  6. Step 6: Final answer
    x = 259,599.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.