Finding the Third Proportional to 1,203 and 1,977
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Solution
The third proportional to 1,203 and 1,977 is: 3,248.99
Step by Step Solution
- Step 1: Write the proportion equation
1,203 : 1,977 = 1,977 : x - Step 2: Convert to fraction form
1,203/1,977 = 1,977/x - Step 3: Cross multiply
1,203x = 1,977 × 1,977 - Step 4: Simplify right side
1,203x = 3,908,529 - Step 5: Solve for x
x = 3,908,529/1,203 - Step 6: Final answer
x = 3,248.99
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Why These Related Problems?
These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.