Finding the Third Proportional to 414 and 661.50
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Solution
The third proportional to 414 and 661.50 is: 1,056.96
Step by Step Solution
- Step 1: Write the proportion equation
414 : 661.50 = 661.50 : x - Step 2: Convert to fraction form
414/661.50 = 661.50/x - Step 3: Cross multiply
414x = 661.50 × 661.50 - Step 4: Simplify right side
414x = 437,582.25 - Step 5: Solve for x
x = 437,582.25/414 - Step 6: Final answer
x = 1,056.96
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.