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Finding the Third Proportional to 375.15 and 818.54

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Solution

The third proportional to 375.15 and 818.54 is: 1,785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.15 : 818.54 = 818.54 : x
  2. Step 2: Convert to fraction form
    375.15/818.54 = 818.54/x
  3. Step 3: Cross multiply
    375.15x = 818.54 × 818.54
  4. Step 4: Simplify right side
    375.15x = 670,012.59
  5. Step 5: Solve for x
    x = 670,012.59/375.15
  6. Step 6: Final answer
    x = 1,785.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.