Finding the Third Proportional to 971 and 1,858
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Solution
The third proportional to 971 and 1,858 is: 3,555.27
Step by Step Solution
- Step 1: Write the proportion equation
971 : 1,858 = 1,858 : x - Step 2: Convert to fraction form
971/1,858 = 1,858/x - Step 3: Cross multiply
971x = 1,858 × 1,858 - Step 4: Simplify right side
971x = 3,452,164 - Step 5: Solve for x
x = 3,452,164/971 - Step 6: Final answer
x = 3,555.27
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Why These Related Problems?
These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.