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Finding the Third Proportional to 254.91 and 553.03

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Solution

The third proportional to 254.91 and 553.03 is: 1,199.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.91 : 553.03 = 553.03 : x
  2. Step 2: Convert to fraction form
    254.91/553.03 = 553.03/x
  3. Step 3: Cross multiply
    254.91x = 553.03 × 553.03
  4. Step 4: Simplify right side
    254.91x = 305,843.56
  5. Step 5: Solve for x
    x = 305,843.56/254.91
  6. Step 6: Final answer
    x = 1,199.83

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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.