Finding the Third Proportional to 1,982 and 2,262
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Solution
The third proportional to 1,982 and 2,262 is: 2,581.56
Step by Step Solution
- Step 1: Write the proportion equation
1,982 : 2,262 = 2,262 : x - Step 2: Convert to fraction form
1,982/2,262 = 2,262/x - Step 3: Cross multiply
1,982x = 2,262 × 2,262 - Step 4: Simplify right side
1,982x = 5,116,644 - Step 5: Solve for x
x = 5,116,644/1,982 - Step 6: Final answer
x = 2,581.56
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.