Finding the Third Proportional to 674 and 1,570
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Solution
The third proportional to 674 and 1,570 is: 3,657.12
Step by Step Solution
- Step 1: Write the proportion equation
674 : 1,570 = 1,570 : x - Step 2: Convert to fraction form
674/1,570 = 1,570/x - Step 3: Cross multiply
674x = 1,570 × 1,570 - Step 4: Simplify right side
674x = 2,464,900 - Step 5: Solve for x
x = 2,464,900/674 - Step 6: Final answer
x = 3,657.12
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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.