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Finding the Third Proportional to 360.63 and 551.38

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Solution

The third proportional to 360.63 and 551.38 is: 843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.63 : 551.38 = 551.38 : x
  2. Step 2: Convert to fraction form
    360.63/551.38 = 551.38/x
  3. Step 3: Cross multiply
    360.63x = 551.38 × 551.38
  4. Step 4: Simplify right side
    360.63x = 304,014.39
  5. Step 5: Solve for x
    x = 304,014.39/360.63
  6. Step 6: Final answer
    x = 843.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.