Finding the Third Proportional to 216 and 407
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Solution
The third proportional to 216 and 407 is: 766.89
Step by Step Solution
- Step 1: Write the proportion equation
216 : 407 = 407 : x - Step 2: Convert to fraction form
216/407 = 407/x - Step 3: Cross multiply
216x = 407 × 407 - Step 4: Simplify right side
216x = 165,649 - Step 5: Solve for x
x = 165,649/216 - Step 6: Final answer
x = 766.89
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These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.