Finding the Third Proportional to 992.25 and 2,178
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Solution
The third proportional to 992.25 and 2,178 is: 4,780.73
Step by Step Solution
- Step 1: Write the proportion equation
992.25 : 2,178 = 2,178 : x - Step 2: Convert to fraction form
992.25/2,178 = 2,178/x - Step 3: Cross multiply
992.25x = 2,178 × 2,178 - Step 4: Simplify right side
992.25x = 4,743,684 - Step 5: Solve for x
x = 4,743,684/992.25 - Step 6: Final answer
x = 4,780.73
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.