Finding the Third Proportional to 33,736 and 73,952
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Solution
The third proportional to 33,736 and 73,952 is: 162,108.68
Step by Step Solution
- Step 1: Write the proportion equation
33,736 : 73,952 = 73,952 : x - Step 2: Convert to fraction form
33,736/73,952 = 73,952/x - Step 3: Cross multiply
33,736x = 73,952 × 73,952 - Step 4: Simplify right side
33,736x = 5,468,898,304 - Step 5: Solve for x
x = 5,468,898,304/33,736 - Step 6: Final answer
x = 162,108.68
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.