Finding the Third Proportional to 1,053 and 1,989
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Solution
The third proportional to 1,053 and 1,989 is: 3,757
Step by Step Solution
- Step 1: Write the proportion equation
1,053 : 1,989 = 1,989 : x - Step 2: Convert to fraction form
1,053/1,989 = 1,989/x - Step 3: Cross multiply
1,053x = 1,989 × 1,989 - Step 4: Simplify right side
1,053x = 3,956,121 - Step 5: Solve for x
x = 3,956,121/1,053 - Step 6: Final answer
x = 3,757
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Why These Related Problems?
These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.