Finding the Third Proportional to 1,650 and 1,980
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Solution
The third proportional to 1,650 and 1,980 is: 2,376
Step by Step Solution
- Step 1: Write the proportion equation
1,650 : 1,980 = 1,980 : x - Step 2: Convert to fraction form
1,650/1,980 = 1,980/x - Step 3: Cross multiply
1,650x = 1,980 × 1,980 - Step 4: Simplify right side
1,650x = 3,920,400 - Step 5: Solve for x
x = 3,920,400/1,650 - Step 6: Final answer
x = 2,376
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.