Finding the Third Proportional to 1,993 and 3,101
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Solution
The third proportional to 1,993 and 3,101 is: 4,824.99
Step by Step Solution
- Step 1: Write the proportion equation
1,993 : 3,101 = 3,101 : x - Step 2: Convert to fraction form
1,993/3,101 = 3,101/x - Step 3: Cross multiply
1,993x = 3,101 × 3,101 - Step 4: Simplify right side
1,993x = 9,616,201 - Step 5: Solve for x
x = 9,616,201/1,993 - Step 6: Final answer
x = 4,824.99
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.