Finding the Third Proportional to 38,072 and 82,678
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Solution
The third proportional to 38,072 and 82,678 is: 179,545.38
Step by Step Solution
- Step 1: Write the proportion equation
38,072 : 82,678 = 82,678 : x - Step 2: Convert to fraction form
38,072/82,678 = 82,678/x - Step 3: Cross multiply
38,072x = 82,678 × 82,678 - Step 4: Simplify right side
38,072x = 6,835,651,684 - Step 5: Solve for x
x = 6,835,651,684/38,072 - Step 6: Final answer
x = 179,545.38
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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.