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Finding the Third Proportional to 376,867 and 511,761

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Solution

The third proportional to 376,867 and 511,761 is: 694,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,867 : 511,761 = 511,761 : x
  2. Step 2: Convert to fraction form
    376,867/511,761 = 511,761/x
  3. Step 3: Cross multiply
    376,867x = 511,761 × 511,761
  4. Step 4: Simplify right side
    376,867x = 261,899,321,121
  5. Step 5: Solve for x
    x = 261,899,321,121/376,867
  6. Step 6: Final answer
    x = 694,938.32

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.