Finding the Third Proportional to 76,206 and 116,505
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Solution
The third proportional to 76,206 and 116,505 is: 178,114.78
Step by Step Solution
- Step 1: Write the proportion equation
76,206 : 116,505 = 116,505 : x - Step 2: Convert to fraction form
76,206/116,505 = 116,505/x - Step 3: Cross multiply
76,206x = 116,505 × 116,505 - Step 4: Simplify right side
76,206x = 13,573,415,025 - Step 5: Solve for x
x = 13,573,415,025/76,206 - Step 6: Final answer
x = 178,114.78
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.