Finding the Third Proportional to 21,796 and 31,844
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Solution
The third proportional to 21,796 and 31,844 is: 46,524.15
Step by Step Solution
- Step 1: Write the proportion equation
21,796 : 31,844 = 31,844 : x - Step 2: Convert to fraction form
21,796/31,844 = 31,844/x - Step 3: Cross multiply
21,796x = 31,844 × 31,844 - Step 4: Simplify right side
21,796x = 1,014,040,336 - Step 5: Solve for x
x = 1,014,040,336/21,796 - Step 6: Final answer
x = 46,524.15
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.