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Finding the Third Proportional to 311,814 and 682,860

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Solution

The third proportional to 311,814 and 682,860 is: 1,495,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,814 : 682,860 = 682,860 : x
  2. Step 2: Convert to fraction form
    311,814/682,860 = 682,860/x
  3. Step 3: Cross multiply
    311,814x = 682,860 × 682,860
  4. Step 4: Simplify right side
    311,814x = 466,297,779,600
  5. Step 5: Solve for x
    x = 466,297,779,600/311,814
  6. Step 6: Final answer
    x = 1,495,435.68

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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.