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Finding the Third Proportional to 252.70 and 551.39

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Solution

The third proportional to 252.70 and 551.39 is: 1,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.70 : 551.39 = 551.39 : x
  2. Step 2: Convert to fraction form
    252.70/551.39 = 551.39/x
  3. Step 3: Cross multiply
    252.70x = 551.39 × 551.39
  4. Step 4: Simplify right side
    252.70x = 304,031.62
  5. Step 5: Solve for x
    x = 304,031.62/252.70
  6. Step 6: Final answer
    x = 1,203.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.