Finding the Third Proportional to 3,838 and 8,405
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Solution
The third proportional to 3,838 and 8,405 is: 18,406.47
Step by Step Solution
- Step 1: Write the proportion equation
3,838 : 8,405 = 8,405 : x - Step 2: Convert to fraction form
3,838/8,405 = 8,405/x - Step 3: Cross multiply
3,838x = 8,405 × 8,405 - Step 4: Simplify right side
3,838x = 70,644,025 - Step 5: Solve for x
x = 70,644,025/3,838 - Step 6: Final answer
x = 18,406.47
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.