Finding the Third Proportional to 2,286 and 3,266
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Solution
The third proportional to 2,286 and 3,266 is: 4,666.12
Step by Step Solution
- Step 1: Write the proportion equation
2,286 : 3,266 = 3,266 : x - Step 2: Convert to fraction form
2,286/3,266 = 3,266/x - Step 3: Cross multiply
2,286x = 3,266 × 3,266 - Step 4: Simplify right side
2,286x = 10,666,756 - Step 5: Solve for x
x = 10,666,756/2,286 - Step 6: Final answer
x = 4,666.12
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.