Finding the Third Proportional to 47,800 and 73,976
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Solution
The third proportional to 47,800 and 73,976 is: 114,486.37
Step by Step Solution
- Step 1: Write the proportion equation
47,800 : 73,976 = 73,976 : x - Step 2: Convert to fraction form
47,800/73,976 = 73,976/x - Step 3: Cross multiply
47,800x = 73,976 × 73,976 - Step 4: Simplify right side
47,800x = 5,472,448,576 - Step 5: Solve for x
x = 5,472,448,576/47,800 - Step 6: Final answer
x = 114,486.37
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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.