Finding the Third Proportional to 962 and 1,078
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Solution
The third proportional to 962 and 1,078 is: 1,207.99
Step by Step Solution
- Step 1: Write the proportion equation
962 : 1,078 = 1,078 : x - Step 2: Convert to fraction form
962/1,078 = 1,078/x - Step 3: Cross multiply
962x = 1,078 × 1,078 - Step 4: Simplify right side
962x = 1,162,084 - Step 5: Solve for x
x = 1,162,084/962 - Step 6: Final answer
x = 1,207.99
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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.