Finding the Third Proportional to 9,814 and 13,981
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Solution
The third proportional to 9,814 and 13,981 is: 19,917.30
Step by Step Solution
- Step 1: Write the proportion equation
9,814 : 13,981 = 13,981 : x - Step 2: Convert to fraction form
9,814/13,981 = 13,981/x - Step 3: Cross multiply
9,814x = 13,981 × 13,981 - Step 4: Simplify right side
9,814x = 195,468,361 - Step 5: Solve for x
x = 195,468,361/9,814 - Step 6: Final answer
x = 19,917.30
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.