Finding the Third Proportional to 825 and 2,145
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Solution
The third proportional to 825 and 2,145 is: 5,577
Step by Step Solution
- Step 1: Write the proportion equation
825 : 2,145 = 2,145 : x - Step 2: Convert to fraction form
825/2,145 = 2,145/x - Step 3: Cross multiply
825x = 2,145 × 2,145 - Step 4: Simplify right side
825x = 4,601,025 - Step 5: Solve for x
x = 4,601,025/825 - Step 6: Final answer
x = 5,577
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These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.