Finding the Third Proportional to 723 and 862.50
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Solution
The third proportional to 723 and 862.50 is: 1,028.92
Step by Step Solution
- Step 1: Write the proportion equation
723 : 862.50 = 862.50 : x - Step 2: Convert to fraction form
723/862.50 = 862.50/x - Step 3: Cross multiply
723x = 862.50 × 862.50 - Step 4: Simplify right side
723x = 743,906.25 - Step 5: Solve for x
x = 743,906.25/723 - Step 6: Final answer
x = 1,028.92
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Why These Related Problems?
These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.