Finding the Third Proportional to 675 and 697.50
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Solution
The third proportional to 675 and 697.50 is: 720.75
Step by Step Solution
- Step 1: Write the proportion equation
675 : 697.50 = 697.50 : x - Step 2: Convert to fraction form
675/697.50 = 697.50/x - Step 3: Cross multiply
675x = 697.50 × 697.50 - Step 4: Simplify right side
675x = 486,506.25 - Step 5: Solve for x
x = 486,506.25/675 - Step 6: Final answer
x = 720.75
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Why These Related Problems?
These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.