Finding the Third Proportional to 75,812.25 and 117,715.13
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Solution
The third proportional to 75,812.25 and 117,715.13 is: 182,778.52
Step by Step Solution
- Step 1: Write the proportion equation
75,812.25 : 117,715.13 = 117,715.13 : x - Step 2: Convert to fraction form
75,812.25/117,715.13 = 117,715.13/x - Step 3: Cross multiply
75,812.25x = 117,715.13 × 117,715.13 - Step 4: Simplify right side
75,812.25x = 13,856,850,653.77 - Step 5: Solve for x
x = 13,856,850,653.77/75,812.25 - Step 6: Final answer
x = 182,778.52
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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.