Finding the Third Proportional to 83,120 and 178,150
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Solution
The third proportional to 83,120 and 178,150 is: 381,826.55
Step by Step Solution
- Step 1: Write the proportion equation
83,120 : 178,150 = 178,150 : x - Step 2: Convert to fraction form
83,120/178,150 = 178,150/x - Step 3: Cross multiply
83,120x = 178,150 × 178,150 - Step 4: Simplify right side
83,120x = 31,737,422,500 - Step 5: Solve for x
x = 31,737,422,500/83,120 - Step 6: Final answer
x = 381,826.55
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.