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Finding the Third Proportional to 265,977 and 399,234

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Solution

The third proportional to 265,977 and 399,234 is: 599,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,977 : 399,234 = 399,234 : x
  2. Step 2: Convert to fraction form
    265,977/399,234 = 399,234/x
  3. Step 3: Cross multiply
    265,977x = 399,234 × 399,234
  4. Step 4: Simplify right side
    265,977x = 159,387,786,756
  5. Step 5: Solve for x
    x = 159,387,786,756/265,977
  6. Step 6: Final answer
    x = 599,254.02

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