Finding the Third Proportional to 300 and 689.50
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Solution
The third proportional to 300 and 689.50 is: 1,584.70
Step by Step Solution
- Step 1: Write the proportion equation
300 : 689.50 = 689.50 : x - Step 2: Convert to fraction form
300/689.50 = 689.50/x - Step 3: Cross multiply
300x = 689.50 × 689.50 - Step 4: Simplify right side
300x = 475,410.25 - Step 5: Solve for x
x = 475,410.25/300 - Step 6: Final answer
x = 1,584.70
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Why These Related Problems?
These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.