Finding the Third Proportional to 48.09 and 103.78
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Solution
The third proportional to 48.09 and 103.78 is: 223.95
Step by Step Solution
- Step 1: Write the proportion equation
48.09 : 103.78 = 103.78 : x - Step 2: Convert to fraction form
48.09/103.78 = 103.78/x - Step 3: Cross multiply
48.09x = 103.78 × 103.78 - Step 4: Simplify right side
48.09x = 10,770.55 - Step 5: Solve for x
x = 10,770.55/48.09 - Step 6: Final answer
x = 223.95
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.