Finding the Third Proportional to 442 and 664
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Solution
The third proportional to 442 and 664 is: 997.50
Step by Step Solution
- Step 1: Write the proportion equation
442 : 664 = 664 : x - Step 2: Convert to fraction form
442/664 = 664/x - Step 3: Cross multiply
442x = 664 × 664 - Step 4: Simplify right side
442x = 440,896 - Step 5: Solve for x
x = 440,896/442 - Step 6: Final answer
x = 997.50
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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.