Finding the Third Proportional to 400 and 682.50
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Solution
The third proportional to 400 and 682.50 is: 1,164.52
Step by Step Solution
- Step 1: Write the proportion equation
400 : 682.50 = 682.50 : x - Step 2: Convert to fraction form
400/682.50 = 682.50/x - Step 3: Cross multiply
400x = 682.50 × 682.50 - Step 4: Simplify right side
400x = 465,806.25 - Step 5: Solve for x
x = 465,806.25/400 - Step 6: Final answer
x = 1,164.52
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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.