Finding the Third Proportional to 7,740 and 12,000
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Solution
The third proportional to 7,740 and 12,000 is: 18,604.65
Step by Step Solution
- Step 1: Write the proportion equation
7,740 : 12,000 = 12,000 : x - Step 2: Convert to fraction form
7,740/12,000 = 12,000/x - Step 3: Cross multiply
7,740x = 12,000 × 12,000 - Step 4: Simplify right side
7,740x = 144,000,000 - Step 5: Solve for x
x = 144,000,000/7,740 - Step 6: Final answer
x = 18,604.65
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.