Finding the Third Proportional to 420 and 744
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Solution
The third proportional to 420 and 744 is: 1,317.94
Step by Step Solution
- Step 1: Write the proportion equation
420 : 744 = 744 : x - Step 2: Convert to fraction form
420/744 = 744/x - Step 3: Cross multiply
420x = 744 × 744 - Step 4: Simplify right side
420x = 553,536 - Step 5: Solve for x
x = 553,536/420 - Step 6: Final answer
x = 1,317.94
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These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.