Finding the Third Proportional to 546 and 640.50
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Solution
The third proportional to 546 and 640.50 is: 751.36
Step by Step Solution
- Step 1: Write the proportion equation
546 : 640.50 = 640.50 : x - Step 2: Convert to fraction form
546/640.50 = 640.50/x - Step 3: Cross multiply
546x = 640.50 × 640.50 - Step 4: Simplify right side
546x = 410,240.25 - Step 5: Solve for x
x = 410,240.25/546 - Step 6: Final answer
x = 751.36
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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.