Finding the Third Proportional to 947 and 1,981
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Solution
The third proportional to 947 and 1,981 is: 4,143.99
Step by Step Solution
- Step 1: Write the proportion equation
947 : 1,981 = 1,981 : x - Step 2: Convert to fraction form
947/1,981 = 1,981/x - Step 3: Cross multiply
947x = 1,981 × 1,981 - Step 4: Simplify right side
947x = 3,924,361 - Step 5: Solve for x
x = 3,924,361/947 - Step 6: Final answer
x = 4,143.99
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.