Finding the Third Proportional to 217 and 420.50
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Solution
The third proportional to 217 and 420.50 is: 814.84
Step by Step Solution
- Step 1: Write the proportion equation
217 : 420.50 = 420.50 : x - Step 2: Convert to fraction form
217/420.50 = 420.50/x - Step 3: Cross multiply
217x = 420.50 × 420.50 - Step 4: Simplify right side
217x = 176,820.25 - Step 5: Solve for x
x = 176,820.25/217 - Step 6: Final answer
x = 814.84
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Why These Related Problems?
These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.