Finding the Third Proportional to 1,440 and 2,880
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Solution
The third proportional to 1,440 and 2,880 is: 5,760
Step by Step Solution
- Step 1: Write the proportion equation
1,440 : 2,880 = 2,880 : x - Step 2: Convert to fraction form
1,440/2,880 = 2,880/x - Step 3: Cross multiply
1,440x = 2,880 × 2,880 - Step 4: Simplify right side
1,440x = 8,294,400 - Step 5: Solve for x
x = 8,294,400/1,440 - Step 6: Final answer
x = 5,760
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Why These Related Problems?
These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.