Finding the Third Proportional to 7,665.75 and 16,782.75
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Solution
The third proportional to 7,665.75 and 16,782.75 is: 36,742.75
Step by Step Solution
- Step 1: Write the proportion equation
7,665.75 : 16,782.75 = 16,782.75 : x - Step 2: Convert to fraction form
7,665.75/16,782.75 = 16,782.75/x - Step 3: Cross multiply
7,665.75x = 16,782.75 × 16,782.75 - Step 4: Simplify right side
7,665.75x = 281,660,697.56 - Step 5: Solve for x
x = 281,660,697.56/7,665.75 - Step 6: Final answer
x = 36,742.75
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.