Finding the Third Proportional to 421 and 767
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Solution
The third proportional to 421 and 767 is: 1,397.36
Step by Step Solution
- Step 1: Write the proportion equation
421 : 767 = 767 : x - Step 2: Convert to fraction form
421/767 = 767/x - Step 3: Cross multiply
421x = 767 × 767 - Step 4: Simplify right side
421x = 588,289 - Step 5: Solve for x
x = 588,289/421 - Step 6: Final answer
x = 1,397.36
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Why These Related Problems?
These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.