Finding the Third Proportional to 806 and 2,099
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Solution
The third proportional to 806 and 2,099 is: 5,466.25
Step by Step Solution
- Step 1: Write the proportion equation
806 : 2,099 = 2,099 : x - Step 2: Convert to fraction form
806/2,099 = 2,099/x - Step 3: Cross multiply
806x = 2,099 × 2,099 - Step 4: Simplify right side
806x = 4,405,801 - Step 5: Solve for x
x = 4,405,801/806 - Step 6: Final answer
x = 5,466.25
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Why These Related Problems?
These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.