Finding the Third Proportional to 979 and 1,842
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Solution
The third proportional to 979 and 1,842 is: 3,465.74
Step by Step Solution
- Step 1: Write the proportion equation
979 : 1,842 = 1,842 : x - Step 2: Convert to fraction form
979/1,842 = 1,842/x - Step 3: Cross multiply
979x = 1,842 × 1,842 - Step 4: Simplify right side
979x = 3,392,964 - Step 5: Solve for x
x = 3,392,964/979 - Step 6: Final answer
x = 3,465.74
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These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.