Finding the Third Proportional to 5,076 and 8,460
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Solution
The third proportional to 5,076 and 8,460 is: 14,100
Step by Step Solution
- Step 1: Write the proportion equation
5,076 : 8,460 = 8,460 : x - Step 2: Convert to fraction form
5,076/8,460 = 8,460/x - Step 3: Cross multiply
5,076x = 8,460 × 8,460 - Step 4: Simplify right side
5,076x = 71,571,600 - Step 5: Solve for x
x = 71,571,600/5,076 - Step 6: Final answer
x = 14,100
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Why These Related Problems?
These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.