Finding the Third Proportional to 906 and 1,767
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Solution
The third proportional to 906 and 1,767 is: 3,446.24
Step by Step Solution
- Step 1: Write the proportion equation
906 : 1,767 = 1,767 : x - Step 2: Convert to fraction form
906/1,767 = 1,767/x - Step 3: Cross multiply
906x = 1,767 × 1,767 - Step 4: Simplify right side
906x = 3,122,289 - Step 5: Solve for x
x = 3,122,289/906 - Step 6: Final answer
x = 3,446.24
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Why These Related Problems?
These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.