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Finding the Third Proportional to 618.88 and 1,288.78

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Solution

The third proportional to 618.88 and 1,288.78 is: 2,683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.88 : 1,288.78 = 1,288.78 : x
  2. Step 2: Convert to fraction form
    618.88/1,288.78 = 1,288.78/x
  3. Step 3: Cross multiply
    618.88x = 1,288.78 × 1,288.78
  4. Step 4: Simplify right side
    618.88x = 1,660,957.11
  5. Step 5: Solve for x
    x = 1,660,957.11/618.88
  6. Step 6: Final answer
    x = 2,683.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.