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Finding the Third Proportional to 311,216 and 682,696

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Solution

The third proportional to 311,216 and 682,696 is: 1,497,589.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,216 : 682,696 = 682,696 : x
  2. Step 2: Convert to fraction form
    311,216/682,696 = 682,696/x
  3. Step 3: Cross multiply
    311,216x = 682,696 × 682,696
  4. Step 4: Simplify right side
    311,216x = 466,073,828,416
  5. Step 5: Solve for x
    x = 466,073,828,416/311,216
  6. Step 6: Final answer
    x = 1,497,589.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.