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Finding the Third Proportional to 252.38 and 551.63

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Solution

The third proportional to 252.38 and 551.63 is: 1,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.38 : 551.63 = 551.63 : x
  2. Step 2: Convert to fraction form
    252.38/551.63 = 551.63/x
  3. Step 3: Cross multiply
    252.38x = 551.63 × 551.63
  4. Step 4: Simplify right side
    252.38x = 304,290.14
  5. Step 5: Solve for x
    x = 304,290.14/252.38
  6. Step 6: Final answer
    x = 1,205.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.