Finding the Third Proportional to 135,213.75 and 313,008.75
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Solution
The third proportional to 135,213.75 and 313,008.75 is: 724,589.60
Step by Step Solution
- Step 1: Write the proportion equation
135,213.75 : 313,008.75 = 313,008.75 : x - Step 2: Convert to fraction form
135,213.75/313,008.75 = 313,008.75/x - Step 3: Cross multiply
135,213.75x = 313,008.75 × 313,008.75 - Step 4: Simplify right side
135,213.75x = 97,974,477,576.56 - Step 5: Solve for x
x = 97,974,477,576.56/135,213.75 - Step 6: Final answer
x = 724,589.60
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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.