Finding the Third Proportional to 798 and 1,767
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Solution
The third proportional to 798 and 1,767 is: 3,912.64
Step by Step Solution
- Step 1: Write the proportion equation
798 : 1,767 = 1,767 : x - Step 2: Convert to fraction form
798/1,767 = 1,767/x - Step 3: Cross multiply
798x = 1,767 × 1,767 - Step 4: Simplify right side
798x = 3,122,289 - Step 5: Solve for x
x = 3,122,289/798 - Step 6: Final answer
x = 3,912.64
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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.