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Finding the Third Proportional to 383,912 and 826,691

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Solution

The third proportional to 383,912 and 826,691 is: 1,780,142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,912 : 826,691 = 826,691 : x
  2. Step 2: Convert to fraction form
    383,912/826,691 = 826,691/x
  3. Step 3: Cross multiply
    383,912x = 826,691 × 826,691
  4. Step 4: Simplify right side
    383,912x = 683,418,009,481
  5. Step 5: Solve for x
    x = 683,418,009,481/383,912
  6. Step 6: Final answer
    x = 1,780,142.35

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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.