Finding the Third Proportional to 414 and 442.50
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Solution
The third proportional to 414 and 442.50 is: 472.96
Step by Step Solution
- Step 1: Write the proportion equation
414 : 442.50 = 442.50 : x - Step 2: Convert to fraction form
414/442.50 = 442.50/x - Step 3: Cross multiply
414x = 442.50 × 442.50 - Step 4: Simplify right side
414x = 195,806.25 - Step 5: Solve for x
x = 195,806.25/414 - Step 6: Final answer
x = 472.96
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These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.