Finding the Third Proportional to 822 and 2,136
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Solution
The third proportional to 822 and 2,136 is: 5,550.48
Step by Step Solution
- Step 1: Write the proportion equation
822 : 2,136 = 2,136 : x - Step 2: Convert to fraction form
822/2,136 = 2,136/x - Step 3: Cross multiply
822x = 2,136 × 2,136 - Step 4: Simplify right side
822x = 4,562,496 - Step 5: Solve for x
x = 4,562,496/822 - Step 6: Final answer
x = 5,550.48
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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.