Finding the Third Proportional to 961 and 1,365
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Solution
The third proportional to 961 and 1,365 is: 1,938.84
Step by Step Solution
- Step 1: Write the proportion equation
961 : 1,365 = 1,365 : x - Step 2: Convert to fraction form
961/1,365 = 1,365/x - Step 3: Cross multiply
961x = 1,365 × 1,365 - Step 4: Simplify right side
961x = 1,863,225 - Step 5: Solve for x
x = 1,863,225/961 - Step 6: Final answer
x = 1,938.84
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.