Finding the Third Proportional to 830 and 1,982
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Solution
The third proportional to 830 and 1,982 is: 4,732.92
Step by Step Solution
- Step 1: Write the proportion equation
830 : 1,982 = 1,982 : x - Step 2: Convert to fraction form
830/1,982 = 1,982/x - Step 3: Cross multiply
830x = 1,982 × 1,982 - Step 4: Simplify right side
830x = 3,928,324 - Step 5: Solve for x
x = 3,928,324/830 - Step 6: Final answer
x = 4,732.92
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Why These Related Problems?
These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.