Finding the Third Proportional to 438 and 816
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Solution
The third proportional to 438 and 816 is: 1,520.22
Step by Step Solution
- Step 1: Write the proportion equation
438 : 816 = 816 : x - Step 2: Convert to fraction form
438/816 = 816/x - Step 3: Cross multiply
438x = 816 × 816 - Step 4: Simplify right side
438x = 665,856 - Step 5: Solve for x
x = 665,856/438 - Step 6: Final answer
x = 1,520.22
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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.