Finding the Third Proportional to 873 and 1,763
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Solution
The third proportional to 873 and 1,763 is: 3,560.33
Step by Step Solution
- Step 1: Write the proportion equation
873 : 1,763 = 1,763 : x - Step 2: Convert to fraction form
873/1,763 = 1,763/x - Step 3: Cross multiply
873x = 1,763 × 1,763 - Step 4: Simplify right side
873x = 3,108,169 - Step 5: Solve for x
x = 3,108,169/873 - Step 6: Final answer
x = 3,560.33
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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.