Finding the Third Proportional to 53,406 and 83,775
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Solution
The third proportional to 53,406 and 83,775 is: 131,413.15
Step by Step Solution
- Step 1: Write the proportion equation
53,406 : 83,775 = 83,775 : x - Step 2: Convert to fraction form
53,406/83,775 = 83,775/x - Step 3: Cross multiply
53,406x = 83,775 × 83,775 - Step 4: Simplify right side
53,406x = 7,018,250,625 - Step 5: Solve for x
x = 7,018,250,625/53,406 - Step 6: Final answer
x = 131,413.15
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.