Finding the Third Proportional to 5,120.44 and 7,829.44
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Solution
The third proportional to 5,120.44 and 7,829.44 is: 11,971.65
Step by Step Solution
- Step 1: Write the proportion equation
5,120.44 : 7,829.44 = 7,829.44 : x - Step 2: Convert to fraction form
5,120.44/7,829.44 = 7,829.44/x - Step 3: Cross multiply
5,120.44x = 7,829.44 × 7,829.44 - Step 4: Simplify right side
5,120.44x = 61,300,091.57 - Step 5: Solve for x
x = 61,300,091.57/5,120.44 - Step 6: Final answer
x = 11,971.65
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.