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Finding the Third Proportional to 298,296 and 451,791

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Solution

The third proportional to 298,296 and 451,791 is: 684,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,296 : 451,791 = 451,791 : x
  2. Step 2: Convert to fraction form
    298,296/451,791 = 451,791/x
  3. Step 3: Cross multiply
    298,296x = 451,791 × 451,791
  4. Step 4: Simplify right side
    298,296x = 204,115,107,681
  5. Step 5: Solve for x
    x = 204,115,107,681/298,296
  6. Step 6: Final answer
    x = 684,270.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.