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Finding the Third Proportional to 618.30 and 1,361.54

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Solution

The third proportional to 618.30 and 1,361.54 is: 2,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.30 : 1,361.54 = 1,361.54 : x
  2. Step 2: Convert to fraction form
    618.30/1,361.54 = 1,361.54/x
  3. Step 3: Cross multiply
    618.30x = 1,361.54 × 1,361.54
  4. Step 4: Simplify right side
    618.30x = 1,853,779.31
  5. Step 5: Solve for x
    x = 1,853,779.31/618.30
  6. Step 6: Final answer
    x = 2,998.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.