Finding the Third Proportional to 5,670 and 7,560
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Solution
The third proportional to 5,670 and 7,560 is: 10,080
Step by Step Solution
- Step 1: Write the proportion equation
5,670 : 7,560 = 7,560 : x - Step 2: Convert to fraction form
5,670/7,560 = 7,560/x - Step 3: Cross multiply
5,670x = 7,560 × 7,560 - Step 4: Simplify right side
5,670x = 57,153,600 - Step 5: Solve for x
x = 57,153,600/5,670 - Step 6: Final answer
x = 10,080
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.