Finding the Third Proportional to 741 and 1,021.50
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Solution
The third proportional to 741 and 1,021.50 is: 1,408.18
Step by Step Solution
- Step 1: Write the proportion equation
741 : 1,021.50 = 1,021.50 : x - Step 2: Convert to fraction form
741/1,021.50 = 1,021.50/x - Step 3: Cross multiply
741x = 1,021.50 × 1,021.50 - Step 4: Simplify right side
741x = 1,043,462.25 - Step 5: Solve for x
x = 1,043,462.25/741 - Step 6: Final answer
x = 1,408.18
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.