Finding the Third Proportional to 98.25 and 213.75
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Solution
The third proportional to 98.25 and 213.75 is: 465.03
Step by Step Solution
- Step 1: Write the proportion equation
98.25 : 213.75 = 213.75 : x - Step 2: Convert to fraction form
98.25/213.75 = 213.75/x - Step 3: Cross multiply
98.25x = 213.75 × 213.75 - Step 4: Simplify right side
98.25x = 45,689.06 - Step 5: Solve for x
x = 45,689.06/98.25 - Step 6: Final answer
x = 465.03
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.