Finding the Third Proportional to 102,408.75 and 217,734.75
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Solution
The third proportional to 102,408.75 and 217,734.75 is: 462,933.31
Step by Step Solution
- Step 1: Write the proportion equation
102,408.75 : 217,734.75 = 217,734.75 : x - Step 2: Convert to fraction form
102,408.75/217,734.75 = 217,734.75/x - Step 3: Cross multiply
102,408.75x = 217,734.75 × 217,734.75 - Step 4: Simplify right side
102,408.75x = 47,408,421,357.56 - Step 5: Solve for x
x = 47,408,421,357.56/102,408.75 - Step 6: Final answer
x = 462,933.31
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.