Finding the Third Proportional to 930 and 1,149
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Solution
The third proportional to 930 and 1,149 is: 1,419.57
Step by Step Solution
- Step 1: Write the proportion equation
930 : 1,149 = 1,149 : x - Step 2: Convert to fraction form
930/1,149 = 1,149/x - Step 3: Cross multiply
930x = 1,149 × 1,149 - Step 4: Simplify right side
930x = 1,320,201 - Step 5: Solve for x
x = 1,320,201/930 - Step 6: Final answer
x = 1,419.57
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Why These Related Problems?
These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.