Finding the Third Proportional to 420 and 737
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Solution
The third proportional to 420 and 737 is: 1,293.26
Step by Step Solution
- Step 1: Write the proportion equation
420 : 737 = 737 : x - Step 2: Convert to fraction form
420/737 = 737/x - Step 3: Cross multiply
420x = 737 × 737 - Step 4: Simplify right side
420x = 543,169 - Step 5: Solve for x
x = 543,169/420 - Step 6: Final answer
x = 1,293.26
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Why These Related Problems?
These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.