Finding the Third Proportional to 570 and 757.50
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Solution
The third proportional to 570 and 757.50 is: 1,006.68
Step by Step Solution
- Step 1: Write the proportion equation
570 : 757.50 = 757.50 : x - Step 2: Convert to fraction form
570/757.50 = 757.50/x - Step 3: Cross multiply
570x = 757.50 × 757.50 - Step 4: Simplify right side
570x = 573,806.25 - Step 5: Solve for x
x = 573,806.25/570 - Step 6: Final answer
x = 1,006.68
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.