Finding the Third Proportional to 806 and 1,931
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Solution
The third proportional to 806 and 1,931 is: 4,626.25
Step by Step Solution
- Step 1: Write the proportion equation
806 : 1,931 = 1,931 : x - Step 2: Convert to fraction form
806/1,931 = 1,931/x - Step 3: Cross multiply
806x = 1,931 × 1,931 - Step 4: Simplify right side
806x = 3,728,761 - Step 5: Solve for x
x = 3,728,761/806 - Step 6: Final answer
x = 4,626.25
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Why These Related Problems?
These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.