Finding the Third Proportional to 400 and 782
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Solution
The third proportional to 400 and 782 is: 1,528.81
Step by Step Solution
- Step 1: Write the proportion equation
400 : 782 = 782 : x - Step 2: Convert to fraction form
400/782 = 782/x - Step 3: Cross multiply
400x = 782 × 782 - Step 4: Simplify right side
400x = 611,524 - Step 5: Solve for x
x = 611,524/400 - Step 6: Final answer
x = 1,528.81
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These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.