Finding the Third Proportional to 396 and 828
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Solution
The third proportional to 396 and 828 is: 1,731.27
Step by Step Solution
- Step 1: Write the proportion equation
396 : 828 = 828 : x - Step 2: Convert to fraction form
396/828 = 828/x - Step 3: Cross multiply
396x = 828 × 828 - Step 4: Simplify right side
396x = 685,584 - Step 5: Solve for x
x = 685,584/396 - Step 6: Final answer
x = 1,731.27
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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.