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Finding the Third Proportional to 551.44 and 824.72

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Solution

The third proportional to 551.44 and 824.72 is: 1,233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.44 : 824.72 = 824.72 : x
  2. Step 2: Convert to fraction form
    551.44/824.72 = 824.72/x
  3. Step 3: Cross multiply
    551.44x = 824.72 × 824.72
  4. Step 4: Simplify right side
    551.44x = 680,161.02
  5. Step 5: Solve for x
    x = 680,161.02/551.44
  6. Step 6: Final answer
    x = 1,233.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.