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Finding the Third Proportional to 238.92 and 551.74

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Solution

The third proportional to 238.92 and 551.74 is: 1,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.92 : 551.74 = 551.74 : x
  2. Step 2: Convert to fraction form
    238.92/551.74 = 551.74/x
  3. Step 3: Cross multiply
    238.92x = 551.74 × 551.74
  4. Step 4: Simplify right side
    238.92x = 304,419.44
  5. Step 5: Solve for x
    x = 304,419.44/238.92
  6. Step 6: Final answer
    x = 1,274.14

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.