Finding the Third Proportional to 818 and 1,684
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Solution
The third proportional to 818 and 1,684 is: 3,466.82
Step by Step Solution
- Step 1: Write the proportion equation
818 : 1,684 = 1,684 : x - Step 2: Convert to fraction form
818/1,684 = 1,684/x - Step 3: Cross multiply
818x = 1,684 × 1,684 - Step 4: Simplify right side
818x = 2,835,856 - Step 5: Solve for x
x = 2,835,856/818 - Step 6: Final answer
x = 3,466.82
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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.