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Finding the Third Proportional to 382,551 and 823,638

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Solution

The third proportional to 382,551 and 823,638 is: 1,773,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,551 : 823,638 = 823,638 : x
  2. Step 2: Convert to fraction form
    382,551/823,638 = 823,638/x
  3. Step 3: Cross multiply
    382,551x = 823,638 × 823,638
  4. Step 4: Simplify right side
    382,551x = 678,379,555,044
  5. Step 5: Solve for x
    x = 678,379,555,044/382,551
  6. Step 6: Final answer
    x = 1,773,304.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.