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Finding the Third Proportional to 257,474 and 376,995

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Solution

The third proportional to 257,474 and 376,995 is: 551,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,474 : 376,995 = 376,995 : x
  2. Step 2: Convert to fraction form
    257,474/376,995 = 376,995/x
  3. Step 3: Cross multiply
    257,474x = 376,995 × 376,995
  4. Step 4: Simplify right side
    257,474x = 142,125,230,025
  5. Step 5: Solve for x
    x = 142,125,230,025/257,474
  6. Step 6: Final answer
    x = 551,998.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.