Finding the Third Proportional to 826 and 947.50
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Solution
The third proportional to 826 and 947.50 is: 1,086.87
Step by Step Solution
- Step 1: Write the proportion equation
826 : 947.50 = 947.50 : x - Step 2: Convert to fraction form
826/947.50 = 947.50/x - Step 3: Cross multiply
826x = 947.50 × 947.50 - Step 4: Simplify right side
826x = 897,756.25 - Step 5: Solve for x
x = 897,756.25/826 - Step 6: Final answer
x = 1,086.87
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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.