Finding the Third Proportional to 2,538 and 2,866
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Solution
The third proportional to 2,538 and 2,866 is: 3,236.39
Step by Step Solution
- Step 1: Write the proportion equation
2,538 : 2,866 = 2,866 : x - Step 2: Convert to fraction form
2,538/2,866 = 2,866/x - Step 3: Cross multiply
2,538x = 2,866 × 2,866 - Step 4: Simplify right side
2,538x = 8,213,956 - Step 5: Solve for x
x = 8,213,956/2,538 - Step 6: Final answer
x = 3,236.39
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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.