Finding the Third Proportional to 102.50 and 205
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Solution
The third proportional to 102.50 and 205 is: 410
Step by Step Solution
- Step 1: Write the proportion equation
102.50 : 205 = 205 : x - Step 2: Convert to fraction form
102.50/205 = 205/x - Step 3: Cross multiply
102.50x = 205 × 205 - Step 4: Simplify right side
102.50x = 42,025 - Step 5: Solve for x
x = 42,025/102.50 - Step 6: Final answer
x = 410
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Why These Related Problems?
These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.