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Finding the Third Proportional to 619.03 and 1,003.92

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Solution

The third proportional to 619.03 and 1,003.92 is: 1,628.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.03 : 1,003.92 = 1,003.92 : x
  2. Step 2: Convert to fraction form
    619.03/1,003.92 = 1,003.92/x
  3. Step 3: Cross multiply
    619.03x = 1,003.92 × 1,003.92
  4. Step 4: Simplify right side
    619.03x = 1,007,859.13
  5. Step 5: Solve for x
    x = 1,007,859.13/619.03
  6. Step 6: Final answer
    x = 1,628.12

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.