Finding the Third Proportional to 802 and 1,912
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Solution
The third proportional to 802 and 1,912 is: 4,558.28
Step by Step Solution
- Step 1: Write the proportion equation
802 : 1,912 = 1,912 : x - Step 2: Convert to fraction form
802/1,912 = 1,912/x - Step 3: Cross multiply
802x = 1,912 × 1,912 - Step 4: Simplify right side
802x = 3,655,744 - Step 5: Solve for x
x = 3,655,744/802 - Step 6: Final answer
x = 4,558.28
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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.