Finding the Third Proportional to 31,157 and 46,775
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Solution
The third proportional to 31,157 and 46,775 is: 70,221.80
Step by Step Solution
- Step 1: Write the proportion equation
31,157 : 46,775 = 46,775 : x - Step 2: Convert to fraction form
31,157/46,775 = 46,775/x - Step 3: Cross multiply
31,157x = 46,775 × 46,775 - Step 4: Simplify right side
31,157x = 2,187,900,625 - Step 5: Solve for x
x = 2,187,900,625/31,157 - Step 6: Final answer
x = 70,221.80
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.