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Finding the Third Proportional to 263,018 and 427,311

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Solution

The third proportional to 263,018 and 427,311 is: 694,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,018 : 427,311 = 427,311 : x
  2. Step 2: Convert to fraction form
    263,018/427,311 = 427,311/x
  3. Step 3: Cross multiply
    263,018x = 427,311 × 427,311
  4. Step 4: Simplify right side
    263,018x = 182,594,690,721
  5. Step 5: Solve for x
    x = 182,594,690,721/263,018
  6. Step 6: Final answer
    x = 694,228.88

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.