Finding the Third Proportional to 945 and 1,536
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Solution
The third proportional to 945 and 1,536 is: 2,496.61
Step by Step Solution
- Step 1: Write the proportion equation
945 : 1,536 = 1,536 : x - Step 2: Convert to fraction form
945/1,536 = 1,536/x - Step 3: Cross multiply
945x = 1,536 × 1,536 - Step 4: Simplify right side
945x = 2,359,296 - Step 5: Solve for x
x = 2,359,296/945 - Step 6: Final answer
x = 2,496.61
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Why These Related Problems?
These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.