Finding the Third Proportional to 2,240 and 4,200
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Solution
The third proportional to 2,240 and 4,200 is: 7,875
Step by Step Solution
- Step 1: Write the proportion equation
2,240 : 4,200 = 4,200 : x - Step 2: Convert to fraction form
2,240/4,200 = 4,200/x - Step 3: Cross multiply
2,240x = 4,200 × 4,200 - Step 4: Simplify right side
2,240x = 17,640,000 - Step 5: Solve for x
x = 17,640,000/2,240 - Step 6: Final answer
x = 7,875
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Why These Related Problems?
These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.