Finding the Third Proportional to 84,217.50 and 180,102.75
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Solution
The third proportional to 84,217.50 and 180,102.75 is: 385,157.49
Step by Step Solution
- Step 1: Write the proportion equation
84,217.50 : 180,102.75 = 180,102.75 : x - Step 2: Convert to fraction form
84,217.50/180,102.75 = 180,102.75/x - Step 3: Cross multiply
84,217.50x = 180,102.75 × 180,102.75 - Step 4: Simplify right side
84,217.50x = 32,437,000,557.56 - Step 5: Solve for x
x = 32,437,000,557.56/84,217.50 - Step 6: Final answer
x = 385,157.49
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.