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Finding the Third Proportional to 618.44 and 1,305.88

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Solution

The third proportional to 618.44 and 1,305.88 is: 2,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.44 : 1,305.88 = 1,305.88 : x
  2. Step 2: Convert to fraction form
    618.44/1,305.88 = 1,305.88/x
  3. Step 3: Cross multiply
    618.44x = 1,305.88 × 1,305.88
  4. Step 4: Simplify right side
    618.44x = 1,705,309.52
  5. Step 5: Solve for x
    x = 1,705,309.52/618.44
  6. Step 6: Final answer
    x = 2,757.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.