Finding the Third Proportional to 469 and 871
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Solution
The third proportional to 469 and 871 is: 1,617.57
Step by Step Solution
- Step 1: Write the proportion equation
469 : 871 = 871 : x - Step 2: Convert to fraction form
469/871 = 871/x - Step 3: Cross multiply
469x = 871 × 871 - Step 4: Simplify right side
469x = 758,641 - Step 5: Solve for x
x = 758,641/469 - Step 6: Final answer
x = 1,617.57
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Why These Related Problems?
These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.