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Finding the Third Proportional to 283,814 and 426,917

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Solution

The third proportional to 283,814 and 426,917 is: 642,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,814 : 426,917 = 426,917 : x
  2. Step 2: Convert to fraction form
    283,814/426,917 = 426,917/x
  3. Step 3: Cross multiply
    283,814x = 426,917 × 426,917
  4. Step 4: Simplify right side
    283,814x = 182,258,124,889
  5. Step 5: Solve for x
    x = 182,258,124,889/283,814
  6. Step 6: Final answer
    x = 642,174.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.