Finding the Third Proportional to 1,927.50 and 3,946
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Solution
The third proportional to 1,927.50 and 3,946 is: 8,078.30
Step by Step Solution
- Step 1: Write the proportion equation
1,927.50 : 3,946 = 3,946 : x - Step 2: Convert to fraction form
1,927.50/3,946 = 3,946/x - Step 3: Cross multiply
1,927.50x = 3,946 × 3,946 - Step 4: Simplify right side
1,927.50x = 15,570,916 - Step 5: Solve for x
x = 15,570,916/1,927.50 - Step 6: Final answer
x = 8,078.30
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.