Finding the Third Proportional to 5,121.50 and 7,729.50
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Solution
The third proportional to 5,121.50 and 7,729.50 is: 11,665.56
Step by Step Solution
- Step 1: Write the proportion equation
5,121.50 : 7,729.50 = 7,729.50 : x - Step 2: Convert to fraction form
5,121.50/7,729.50 = 7,729.50/x - Step 3: Cross multiply
5,121.50x = 7,729.50 × 7,729.50 - Step 4: Simplify right side
5,121.50x = 59,745,170.25 - Step 5: Solve for x
x = 59,745,170.25/5,121.50 - Step 6: Final answer
x = 11,665.56
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.