Finding the Third Proportional to 7,749 and 11,245.50
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Solution
The third proportional to 7,749 and 11,245.50 is: 16,319.69
Step by Step Solution
- Step 1: Write the proportion equation
7,749 : 11,245.50 = 11,245.50 : x - Step 2: Convert to fraction form
7,749/11,245.50 = 11,245.50/x - Step 3: Cross multiply
7,749x = 11,245.50 × 11,245.50 - Step 4: Simplify right side
7,749x = 126,461,270.25 - Step 5: Solve for x
x = 126,461,270.25/7,749 - Step 6: Final answer
x = 16,319.69
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Why These Related Problems?
These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.