Finding the Third Proportional to 115,214 and 178,815
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Solution
The third proportional to 115,214 and 178,815 is: 277,525.34
Step by Step Solution
- Step 1: Write the proportion equation
115,214 : 178,815 = 178,815 : x - Step 2: Convert to fraction form
115,214/178,815 = 178,815/x - Step 3: Cross multiply
115,214x = 178,815 × 178,815 - Step 4: Simplify right side
115,214x = 31,974,804,225 - Step 5: Solve for x
x = 31,974,804,225/115,214 - Step 6: Final answer
x = 277,525.34
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.