Finding the Third Proportional to 412.50 and 822
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Solution
The third proportional to 412.50 and 822 is: 1,638.02
Step by Step Solution
- Step 1: Write the proportion equation
412.50 : 822 = 822 : x - Step 2: Convert to fraction form
412.50/822 = 822/x - Step 3: Cross multiply
412.50x = 822 × 822 - Step 4: Simplify right side
412.50x = 675,684 - Step 5: Solve for x
x = 675,684/412.50 - Step 6: Final answer
x = 1,638.02
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These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.