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Finding the Third Proportional to 366.38 and 515.44

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Solution

The third proportional to 366.38 and 515.44 is: 725.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.38 : 515.44 = 515.44 : x
  2. Step 2: Convert to fraction form
    366.38/515.44 = 515.44/x
  3. Step 3: Cross multiply
    366.38x = 515.44 × 515.44
  4. Step 4: Simplify right side
    366.38x = 265,675.82
  5. Step 5: Solve for x
    x = 265,675.82/366.38
  6. Step 6: Final answer
    x = 725.15

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.