Finding the Third Proportional to 440 and 1,100
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Solution
The third proportional to 440 and 1,100 is: 2,750
Step by Step Solution
- Step 1: Write the proportion equation
440 : 1,100 = 1,100 : x - Step 2: Convert to fraction form
440/1,100 = 1,100/x - Step 3: Cross multiply
440x = 1,100 × 1,100 - Step 4: Simplify right side
440x = 1,210,000 - Step 5: Solve for x
x = 1,210,000/440 - Step 6: Final answer
x = 2,750
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These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.