Finding the Third Proportional to 1,580 and 3,448
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Solution
The third proportional to 1,580 and 3,448 is: 7,524.50
Step by Step Solution
- Step 1: Write the proportion equation
1,580 : 3,448 = 3,448 : x - Step 2: Convert to fraction form
1,580/3,448 = 3,448/x - Step 3: Cross multiply
1,580x = 3,448 × 3,448 - Step 4: Simplify right side
1,580x = 11,888,704 - Step 5: Solve for x
x = 11,888,704/1,580 - Step 6: Final answer
x = 7,524.50
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.