Finding the Third Proportional to 76,747.50 and 157,299.75
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Solution
The third proportional to 76,747.50 and 157,299.75 is: 322,397.62
Step by Step Solution
- Step 1: Write the proportion equation
76,747.50 : 157,299.75 = 157,299.75 : x - Step 2: Convert to fraction form
76,747.50/157,299.75 = 157,299.75/x - Step 3: Cross multiply
76,747.50x = 157,299.75 × 157,299.75 - Step 4: Simplify right side
76,747.50x = 24,743,211,350.06 - Step 5: Solve for x
x = 24,743,211,350.06/76,747.50 - Step 6: Final answer
x = 322,397.62
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.