Finding the Third Proportional to 742 and 2,003
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Solution
The third proportional to 742 and 2,003 is: 5,407.02
Step by Step Solution
- Step 1: Write the proportion equation
742 : 2,003 = 2,003 : x - Step 2: Convert to fraction form
742/2,003 = 2,003/x - Step 3: Cross multiply
742x = 2,003 × 2,003 - Step 4: Simplify right side
742x = 4,012,009 - Step 5: Solve for x
x = 4,012,009/742 - Step 6: Final answer
x = 5,407.02
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Why These Related Problems?
These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.