Finding the Third Proportional to 447.75 and 1,012.75
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Solution
The third proportional to 447.75 and 1,012.75 is: 2,290.70
Step by Step Solution
- Step 1: Write the proportion equation
447.75 : 1,012.75 = 1,012.75 : x - Step 2: Convert to fraction form
447.75/1,012.75 = 1,012.75/x - Step 3: Cross multiply
447.75x = 1,012.75 × 1,012.75 - Step 4: Simplify right side
447.75x = 1,025,662.56 - Step 5: Solve for x
x = 1,025,662.56/447.75 - Step 6: Final answer
x = 2,290.70
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.