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Finding the Third Proportional to 376,863 and 511,755

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Solution

The third proportional to 376,863 and 511,755 is: 694,929.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,863 : 511,755 = 511,755 : x
  2. Step 2: Convert to fraction form
    376,863/511,755 = 511,755/x
  3. Step 3: Cross multiply
    376,863x = 511,755 × 511,755
  4. Step 4: Simplify right side
    376,863x = 261,893,180,025
  5. Step 5: Solve for x
    x = 261,893,180,025/376,863
  6. Step 6: Final answer
    x = 694,929.40

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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.