Finding the Third Proportional to 260 and 434
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Solution
The third proportional to 260 and 434 is: 724.45
Step by Step Solution
- Step 1: Write the proportion equation
260 : 434 = 434 : x - Step 2: Convert to fraction form
260/434 = 434/x - Step 3: Cross multiply
260x = 434 × 434 - Step 4: Simplify right side
260x = 188,356 - Step 5: Solve for x
x = 188,356/260 - Step 6: Final answer
x = 724.45
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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.