Finding the Third Proportional to 217 and 498.75
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Solution
The third proportional to 217 and 498.75 is: 1,146.32
Step by Step Solution
- Step 1: Write the proportion equation
217 : 498.75 = 498.75 : x - Step 2: Convert to fraction form
217/498.75 = 498.75/x - Step 3: Cross multiply
217x = 498.75 × 498.75 - Step 4: Simplify right side
217x = 248,751.56 - Step 5: Solve for x
x = 248,751.56/217 - Step 6: Final answer
x = 1,146.32
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Why These Related Problems?
These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.