Finding the Third Proportional to 157,076 and 327,400
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Solution
The third proportional to 157,076 and 327,400 is: 682,413.35
Step by Step Solution
- Step 1: Write the proportion equation
157,076 : 327,400 = 327,400 : x - Step 2: Convert to fraction form
157,076/327,400 = 327,400/x - Step 3: Cross multiply
157,076x = 327,400 × 327,400 - Step 4: Simplify right side
157,076x = 107,190,760,000 - Step 5: Solve for x
x = 107,190,760,000/157,076 - Step 6: Final answer
x = 682,413.35
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.