Finding the Third Proportional to 9,800 and 21,544
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Solution
The third proportional to 9,800 and 21,544 is: 47,361.63
Step by Step Solution
- Step 1: Write the proportion equation
9,800 : 21,544 = 21,544 : x - Step 2: Convert to fraction form
9,800/21,544 = 21,544/x - Step 3: Cross multiply
9,800x = 21,544 × 21,544 - Step 4: Simplify right side
9,800x = 464,143,936 - Step 5: Solve for x
x = 464,143,936/9,800 - Step 6: Final answer
x = 47,361.63
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.