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Finding the Third Proportional to 94,648 and 203,876

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Solution

The third proportional to 94,648 and 203,876 is: 439,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,648 : 203,876 = 203,876 : x
  2. Step 2: Convert to fraction form
    94,648/203,876 = 203,876/x
  3. Step 3: Cross multiply
    94,648x = 203,876 × 203,876
  4. Step 4: Simplify right side
    94,648x = 41,565,423,376
  5. Step 5: Solve for x
    x = 41,565,423,376/94,648
  6. Step 6: Final answer
    x = 439,157.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.