Finding the Third Proportional to 34,020 and 47,871
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Solution
The third proportional to 34,020 and 47,871 is: 67,361.34
Step by Step Solution
- Step 1: Write the proportion equation
34,020 : 47,871 = 47,871 : x - Step 2: Convert to fraction form
34,020/47,871 = 47,871/x - Step 3: Cross multiply
34,020x = 47,871 × 47,871 - Step 4: Simplify right side
34,020x = 2,291,632,641 - Step 5: Solve for x
x = 2,291,632,641/34,020 - Step 6: Final answer
x = 67,361.34
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.