Finding the Third Proportional to 1,945 and 3,800
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Solution
The third proportional to 1,945 and 3,800 is: 7,424.16
Step by Step Solution
- Step 1: Write the proportion equation
1,945 : 3,800 = 3,800 : x - Step 2: Convert to fraction form
1,945/3,800 = 3,800/x - Step 3: Cross multiply
1,945x = 3,800 × 3,800 - Step 4: Simplify right side
1,945x = 14,440,000 - Step 5: Solve for x
x = 14,440,000/1,945 - Step 6: Final answer
x = 7,424.16
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Why These Related Problems?
These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.