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Finding the Third Proportional to 254.75 and 552.88

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Solution

The third proportional to 254.75 and 552.88 is: 1,199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.75 : 552.88 = 552.88 : x
  2. Step 2: Convert to fraction form
    254.75/552.88 = 552.88/x
  3. Step 3: Cross multiply
    254.75x = 552.88 × 552.88
  4. Step 4: Simplify right side
    254.75x = 305,670.77
  5. Step 5: Solve for x
    x = 305,670.77/254.75
  6. Step 6: Final answer
    x = 1,199.89

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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.