Finding the Third Proportional to 268 and 458
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Solution
The third proportional to 268 and 458 is: 782.70
Step by Step Solution
- Step 1: Write the proportion equation
268 : 458 = 458 : x - Step 2: Convert to fraction form
268/458 = 458/x - Step 3: Cross multiply
268x = 458 × 458 - Step 4: Simplify right side
268x = 209,764 - Step 5: Solve for x
x = 209,764/268 - Step 6: Final answer
x = 782.70
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These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.