Finding the Third Proportional to 964 and 1,986
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Solution
The third proportional to 964 and 1,986 is: 4,091.49
Step by Step Solution
- Step 1: Write the proportion equation
964 : 1,986 = 1,986 : x - Step 2: Convert to fraction form
964/1,986 = 1,986/x - Step 3: Cross multiply
964x = 1,986 × 1,986 - Step 4: Simplify right side
964x = 3,944,196 - Step 5: Solve for x
x = 3,944,196/964 - Step 6: Final answer
x = 4,091.49
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Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.