Finding the Third Proportional to 150.75 and 317.25
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Solution
The third proportional to 150.75 and 317.25 is: 667.65
Step by Step Solution
- Step 1: Write the proportion equation
150.75 : 317.25 = 317.25 : x - Step 2: Convert to fraction form
150.75/317.25 = 317.25/x - Step 3: Cross multiply
150.75x = 317.25 × 317.25 - Step 4: Simplify right side
150.75x = 100,647.56 - Step 5: Solve for x
x = 100,647.56/150.75 - Step 6: Final answer
x = 667.65
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.