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Finding the Third Proportional to 274.26 and 412.55

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Solution

The third proportional to 274.26 and 412.55 is: 620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.26 : 412.55 = 412.55 : x
  2. Step 2: Convert to fraction form
    274.26/412.55 = 412.55/x
  3. Step 3: Cross multiply
    274.26x = 412.55 × 412.55
  4. Step 4: Simplify right side
    274.26x = 170,200.97
  5. Step 5: Solve for x
    x = 170,200.97/274.26
  6. Step 6: Final answer
    x = 620.57

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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.