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Finding the Third Proportional to 619.37 and 1,396.78

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Solution

The third proportional to 619.37 and 1,396.78 is: 3,149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.37 : 1,396.78 = 1,396.78 : x
  2. Step 2: Convert to fraction form
    619.37/1,396.78 = 1,396.78/x
  3. Step 3: Cross multiply
    619.37x = 1,396.78 × 1,396.78
  4. Step 4: Simplify right side
    619.37x = 1,950,981.49
  5. Step 5: Solve for x
    x = 1,950,981.49/619.37
  6. Step 6: Final answer
    x = 3,149.97

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.