Finding the Third Proportional to 7,740 and 8,874
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Solution
The third proportional to 7,740 and 8,874 is: 10,174.14
Step by Step Solution
- Step 1: Write the proportion equation
7,740 : 8,874 = 8,874 : x - Step 2: Convert to fraction form
7,740/8,874 = 8,874/x - Step 3: Cross multiply
7,740x = 8,874 × 8,874 - Step 4: Simplify right side
7,740x = 78,747,876 - Step 5: Solve for x
x = 78,747,876/7,740 - Step 6: Final answer
x = 10,174.14
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Why These Related Problems?
These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.