Finding the Third Proportional to 420 and 652
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Solution
The third proportional to 420 and 652 is: 1,012.15
Step by Step Solution
- Step 1: Write the proportion equation
420 : 652 = 652 : x - Step 2: Convert to fraction form
420/652 = 652/x - Step 3: Cross multiply
420x = 652 × 652 - Step 4: Simplify right side
420x = 425,104 - Step 5: Solve for x
x = 425,104/420 - Step 6: Final answer
x = 1,012.15
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.