Finding the Third Proportional to 983 and 1,873
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Solution
The third proportional to 983 and 1,873 is: 3,568.80
Step by Step Solution
- Step 1: Write the proportion equation
983 : 1,873 = 1,873 : x - Step 2: Convert to fraction form
983/1,873 = 1,873/x - Step 3: Cross multiply
983x = 1,873 × 1,873 - Step 4: Simplify right side
983x = 3,508,129 - Step 5: Solve for x
x = 3,508,129/983 - Step 6: Final answer
x = 3,568.80
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Why These Related Problems?
These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.