Finding the Third Proportional to 880 and 1,658
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Solution
The third proportional to 880 and 1,658 is: 3,123.82
Step by Step Solution
- Step 1: Write the proportion equation
880 : 1,658 = 1,658 : x - Step 2: Convert to fraction form
880/1,658 = 1,658/x - Step 3: Cross multiply
880x = 1,658 × 1,658 - Step 4: Simplify right side
880x = 2,748,964 - Step 5: Solve for x
x = 2,748,964/880 - Step 6: Final answer
x = 3,123.82
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Why These Related Problems?
These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.