Finding the Third Proportional to 213 and 411.50
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Solution
The third proportional to 213 and 411.50 is: 794.99
Step by Step Solution
- Step 1: Write the proportion equation
213 : 411.50 = 411.50 : x - Step 2: Convert to fraction form
213/411.50 = 411.50/x - Step 3: Cross multiply
213x = 411.50 × 411.50 - Step 4: Simplify right side
213x = 169,332.25 - Step 5: Solve for x
x = 169,332.25/213 - Step 6: Final answer
x = 794.99
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Why These Related Problems?
These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.