Finding the Third Proportional to 206,354.25 and 311,611.50
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Solution
The third proportional to 206,354.25 and 311,611.50 is: 470,558.41
Step by Step Solution
- Step 1: Write the proportion equation
206,354.25 : 311,611.50 = 311,611.50 : x - Step 2: Convert to fraction form
206,354.25/311,611.50 = 311,611.50/x - Step 3: Cross multiply
206,354.25x = 311,611.50 × 311,611.50 - Step 4: Simplify right side
206,354.25x = 97,101,726,932.25 - Step 5: Solve for x
x = 97,101,726,932.25/206,354.25 - Step 6: Final answer
x = 470,558.41
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.