Finding the Third Proportional to 867 and 1,752
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Solution
The third proportional to 867 and 1,752 is: 3,540.37
Step by Step Solution
- Step 1: Write the proportion equation
867 : 1,752 = 1,752 : x - Step 2: Convert to fraction form
867/1,752 = 1,752/x - Step 3: Cross multiply
867x = 1,752 × 1,752 - Step 4: Simplify right side
867x = 3,069,504 - Step 5: Solve for x
x = 3,069,504/867 - Step 6: Final answer
x = 3,540.37
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Why These Related Problems?
These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.