Finding the Third Proportional to 205 and 410.50
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Solution
The third proportional to 205 and 410.50 is: 822.00
Step by Step Solution
- Step 1: Write the proportion equation
205 : 410.50 = 410.50 : x - Step 2: Convert to fraction form
205/410.50 = 410.50/x - Step 3: Cross multiply
205x = 410.50 × 410.50 - Step 4: Simplify right side
205x = 168,510.25 - Step 5: Solve for x
x = 168,510.25/205 - Step 6: Final answer
x = 822.00
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.