Finding the Third Proportional to 411,834 and 902,400
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Solution
The third proportional to 411,834 and 902,400 is: 1,977,315.52
Step by Step Solution
- Step 1: Write the proportion equation
411,834 : 902,400 = 902,400 : x - Step 2: Convert to fraction form
411,834/902,400 = 902,400/x - Step 3: Cross multiply
411,834x = 902,400 × 902,400 - Step 4: Simplify right side
411,834x = 814,325,760,000 - Step 5: Solve for x
x = 814,325,760,000/411,834 - Step 6: Final answer
x = 1,977,315.52
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.