Finding the Third Proportional to 103 and 268.50
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Solution
The third proportional to 103 and 268.50 is: 699.92
Step by Step Solution
- Step 1: Write the proportion equation
103 : 268.50 = 268.50 : x - Step 2: Convert to fraction form
103/268.50 = 268.50/x - Step 3: Cross multiply
103x = 268.50 × 268.50 - Step 4: Simplify right side
103x = 72,092.25 - Step 5: Solve for x
x = 72,092.25/103 - Step 6: Final answer
x = 699.92
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Why These Related Problems?
These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.