Finding the Third Proportional to 442 and 580
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Solution
The third proportional to 442 and 580 is: 761.09
Step by Step Solution
- Step 1: Write the proportion equation
442 : 580 = 580 : x - Step 2: Convert to fraction form
442/580 = 580/x - Step 3: Cross multiply
442x = 580 × 580 - Step 4: Simplify right side
442x = 336,400 - Step 5: Solve for x
x = 336,400/442 - Step 6: Final answer
x = 761.09
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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.