Finding the Third Proportional to 416 and 728.50
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Solution
The third proportional to 416 and 728.50 is: 1,275.75
Step by Step Solution
- Step 1: Write the proportion equation
416 : 728.50 = 728.50 : x - Step 2: Convert to fraction form
416/728.50 = 728.50/x - Step 3: Cross multiply
416x = 728.50 × 728.50 - Step 4: Simplify right side
416x = 530,712.25 - Step 5: Solve for x
x = 530,712.25/416 - Step 6: Final answer
x = 1,275.75
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Why These Related Problems?
These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.