Finding the Third Proportional to 414 and 838
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Solution
The third proportional to 414 and 838 is: 1,696.24
Step by Step Solution
- Step 1: Write the proportion equation
414 : 838 = 838 : x - Step 2: Convert to fraction form
414/838 = 838/x - Step 3: Cross multiply
414x = 838 × 838 - Step 4: Simplify right side
414x = 702,244 - Step 5: Solve for x
x = 702,244/414 - Step 6: Final answer
x = 1,696.24
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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.