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Finding the Third Proportional to 261,974 and 400,474

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Solution

The third proportional to 261,974 and 400,474 is: 612,195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,974 : 400,474 = 400,474 : x
  2. Step 2: Convert to fraction form
    261,974/400,474 = 400,474/x
  3. Step 3: Cross multiply
    261,974x = 400,474 × 400,474
  4. Step 4: Simplify right side
    261,974x = 160,379,424,676
  5. Step 5: Solve for x
    x = 160,379,424,676/261,974
  6. Step 6: Final answer
    x = 612,195.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.