Finding the Third Proportional to 957 and 2,138
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Solution
The third proportional to 957 and 2,138 is: 4,776.43
Step by Step Solution
- Step 1: Write the proportion equation
957 : 2,138 = 2,138 : x - Step 2: Convert to fraction form
957/2,138 = 2,138/x - Step 3: Cross multiply
957x = 2,138 × 2,138 - Step 4: Simplify right side
957x = 4,571,044 - Step 5: Solve for x
x = 4,571,044/957 - Step 6: Final answer
x = 4,776.43
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.