Finding the Third Proportional to 965 and 1,945
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Solution
The third proportional to 965 and 1,945 is: 3,920.23
Step by Step Solution
- Step 1: Write the proportion equation
965 : 1,945 = 1,945 : x - Step 2: Convert to fraction form
965/1,945 = 1,945/x - Step 3: Cross multiply
965x = 1,945 × 1,945 - Step 4: Simplify right side
965x = 3,783,025 - Step 5: Solve for x
x = 3,783,025/965 - Step 6: Final answer
x = 3,920.23
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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.