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Finding the Third Proportional to 383,986 and 826,840

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Solution

The third proportional to 383,986 and 826,840 is: 1,780,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,986 : 826,840 = 826,840 : x
  2. Step 2: Convert to fraction form
    383,986/826,840 = 826,840/x
  3. Step 3: Cross multiply
    383,986x = 826,840 × 826,840
  4. Step 4: Simplify right side
    383,986x = 683,664,385,600
  5. Step 5: Solve for x
    x = 683,664,385,600/383,986
  6. Step 6: Final answer
    x = 1,780,440.92

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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.