Finding the Third Proportional to 440 and 1,176
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Solution
The third proportional to 440 and 1,176 is: 3,143.13
Step by Step Solution
- Step 1: Write the proportion equation
440 : 1,176 = 1,176 : x - Step 2: Convert to fraction form
440/1,176 = 1,176/x - Step 3: Cross multiply
440x = 1,176 × 1,176 - Step 4: Simplify right side
440x = 1,382,976 - Step 5: Solve for x
x = 1,382,976/440 - Step 6: Final answer
x = 3,143.13
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These problems maintain the same ratio (2.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.