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Finding the Third Proportional to 206,818 and 311,458

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Solution

The third proportional to 206,818 and 311,458 is: 469,040.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,818 : 311,458 = 311,458 : x
  2. Step 2: Convert to fraction form
    206,818/311,458 = 311,458/x
  3. Step 3: Cross multiply
    206,818x = 311,458 × 311,458
  4. Step 4: Simplify right side
    206,818x = 97,006,085,764
  5. Step 5: Solve for x
    x = 97,006,085,764/206,818
  6. Step 6: Final answer
    x = 469,040.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.