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Finding the Third Proportional to 311,334 and 684,876

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Solution

The third proportional to 311,334 and 684,876 is: 1,506,597.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,334 : 684,876 = 684,876 : x
  2. Step 2: Convert to fraction form
    311,334/684,876 = 684,876/x
  3. Step 3: Cross multiply
    311,334x = 684,876 × 684,876
  4. Step 4: Simplify right side
    311,334x = 469,055,135,376
  5. Step 5: Solve for x
    x = 469,055,135,376/311,334
  6. Step 6: Final answer
    x = 1,506,597.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.