Finding the Third Proportional to 412 and 580
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Solution
The third proportional to 412 and 580 is: 816.50
Step by Step Solution
- Step 1: Write the proportion equation
412 : 580 = 580 : x - Step 2: Convert to fraction form
412/580 = 580/x - Step 3: Cross multiply
412x = 580 × 580 - Step 4: Simplify right side
412x = 336,400 - Step 5: Solve for x
x = 336,400/412 - Step 6: Final answer
x = 816.50
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.