Finding the Third Proportional to 896 and 1,752
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Solution
The third proportional to 896 and 1,752 is: 3,425.79
Step by Step Solution
- Step 1: Write the proportion equation
896 : 1,752 = 1,752 : x - Step 2: Convert to fraction form
896/1,752 = 1,752/x - Step 3: Cross multiply
896x = 1,752 × 1,752 - Step 4: Simplify right side
896x = 3,069,504 - Step 5: Solve for x
x = 3,069,504/896 - Step 6: Final answer
x = 3,425.79
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Why These Related Problems?
These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.