Finding the Third Proportional to 422 and 458
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Solution
The third proportional to 422 and 458 is: 497.07
Step by Step Solution
- Step 1: Write the proportion equation
422 : 458 = 458 : x - Step 2: Convert to fraction form
422/458 = 458/x - Step 3: Cross multiply
422x = 458 × 458 - Step 4: Simplify right side
422x = 209,764 - Step 5: Solve for x
x = 209,764/422 - Step 6: Final answer
x = 497.07
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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.