Finding the Third Proportional to 652 and 1,422
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Solution
The third proportional to 652 and 1,422 is: 3,101.36
Step by Step Solution
- Step 1: Write the proportion equation
652 : 1,422 = 1,422 : x - Step 2: Convert to fraction form
652/1,422 = 1,422/x - Step 3: Cross multiply
652x = 1,422 × 1,422 - Step 4: Simplify right side
652x = 2,022,084 - Step 5: Solve for x
x = 2,022,084/652 - Step 6: Final answer
x = 3,101.36
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.