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Finding the Third Proportional to 253.56 and 550.56

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Solution

The third proportional to 253.56 and 550.56 is: 1,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.56 : 550.56 = 550.56 : x
  2. Step 2: Convert to fraction form
    253.56/550.56 = 550.56/x
  3. Step 3: Cross multiply
    253.56x = 550.56 × 550.56
  4. Step 4: Simplify right side
    253.56x = 303,119.07
  5. Step 5: Solve for x
    x = 303,119.07/253.56
  6. Step 6: Final answer
    x = 1,195.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.