Finding the Third Proportional to 83 and 180.38
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Solution
The third proportional to 83 and 180.38 is: 391.99
Step by Step Solution
- Step 1: Write the proportion equation
83 : 180.38 = 180.38 : x - Step 2: Convert to fraction form
83/180.38 = 180.38/x - Step 3: Cross multiply
83x = 180.38 × 180.38 - Step 4: Simplify right side
83x = 32,535.14 - Step 5: Solve for x
x = 32,535.14/83 - Step 6: Final answer
x = 391.99
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.