Finding the Third Proportional to 406 and 602
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Solution
The third proportional to 406 and 602 is: 892.62
Step by Step Solution
- Step 1: Write the proportion equation
406 : 602 = 602 : x - Step 2: Convert to fraction form
406/602 = 602/x - Step 3: Cross multiply
406x = 602 × 602 - Step 4: Simplify right side
406x = 362,404 - Step 5: Solve for x
x = 362,404/406 - Step 6: Final answer
x = 892.62
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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.