Finding the Third Proportional to 110 and 286
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Solution
The third proportional to 110 and 286 is: 743.60
Step by Step Solution
- Step 1: Write the proportion equation
110 : 286 = 286 : x - Step 2: Convert to fraction form
110/286 = 286/x - Step 3: Cross multiply
110x = 286 × 286 - Step 4: Simplify right side
110x = 81,796 - Step 5: Solve for x
x = 81,796/110 - Step 6: Final answer
x = 743.60
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Why These Related Problems?
These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.