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Finding the Third Proportional to 254.75 and 551.88

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Solution

The third proportional to 254.75 and 551.88 is: 1,195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.75 : 551.88 = 551.88 : x
  2. Step 2: Convert to fraction form
    254.75/551.88 = 551.88/x
  3. Step 3: Cross multiply
    254.75x = 551.88 × 551.88
  4. Step 4: Simplify right side
    254.75x = 304,566.02
  5. Step 5: Solve for x
    x = 304,566.02/254.75
  6. Step 6: Final answer
    x = 1,195.55

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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.