Finding the Third Proportional to 7,274 and 10,947
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Solution
The third proportional to 7,274 and 10,947 is: 16,474.68
Step by Step Solution
- Step 1: Write the proportion equation
7,274 : 10,947 = 10,947 : x - Step 2: Convert to fraction form
7,274/10,947 = 10,947/x - Step 3: Cross multiply
7,274x = 10,947 × 10,947 - Step 4: Simplify right side
7,274x = 119,836,809 - Step 5: Solve for x
x = 119,836,809/7,274 - Step 6: Final answer
x = 16,474.68
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.