Finding the Third Proportional to 92,781.50 and 206,812
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Solution
The third proportional to 92,781.50 and 206,812 is: 460,988.49
Step by Step Solution
- Step 1: Write the proportion equation
92,781.50 : 206,812 = 206,812 : x - Step 2: Convert to fraction form
92,781.50/206,812 = 206,812/x - Step 3: Cross multiply
92,781.50x = 206,812 × 206,812 - Step 4: Simplify right side
92,781.50x = 42,771,203,344 - Step 5: Solve for x
x = 42,771,203,344/92,781.50 - Step 6: Final answer
x = 460,988.49
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.