Finding the Third Proportional to 340.50 and 382.50
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Solution
The third proportional to 340.50 and 382.50 is: 429.68
Step by Step Solution
- Step 1: Write the proportion equation
340.50 : 382.50 = 382.50 : x - Step 2: Convert to fraction form
340.50/382.50 = 382.50/x - Step 3: Cross multiply
340.50x = 382.50 × 382.50 - Step 4: Simplify right side
340.50x = 146,306.25 - Step 5: Solve for x
x = 146,306.25/340.50 - Step 6: Final answer
x = 429.68
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Why These Related Problems?
These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.