Finding the Third Proportional to 5,038 and 7,561
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Solution
The third proportional to 5,038 and 7,561 is: 11,347.50
Step by Step Solution
- Step 1: Write the proportion equation
5,038 : 7,561 = 7,561 : x - Step 2: Convert to fraction form
5,038/7,561 = 7,561/x - Step 3: Cross multiply
5,038x = 7,561 × 7,561 - Step 4: Simplify right side
5,038x = 57,168,721 - Step 5: Solve for x
x = 57,168,721/5,038 - Step 6: Final answer
x = 11,347.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.