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Finding the Third Proportional to 618.53 and 1,262.34

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Solution

The third proportional to 618.53 and 1,262.34 is: 2,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.53 : 1,262.34 = 1,262.34 : x
  2. Step 2: Convert to fraction form
    618.53/1,262.34 = 1,262.34/x
  3. Step 3: Cross multiply
    618.53x = 1,262.34 × 1,262.34
  4. Step 4: Simplify right side
    618.53x = 1,593,508.04
  5. Step 5: Solve for x
    x = 1,593,508.04/618.53
  6. Step 6: Final answer
    x = 2,576.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.