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Finding the Third Proportional to 426,836 and 639,138

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Solution

The third proportional to 426,836 and 639,138 is: 957,035.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,836 : 639,138 = 639,138 : x
  2. Step 2: Convert to fraction form
    426,836/639,138 = 639,138/x
  3. Step 3: Cross multiply
    426,836x = 639,138 × 639,138
  4. Step 4: Simplify right side
    426,836x = 408,497,383,044
  5. Step 5: Solve for x
    x = 408,497,383,044/426,836
  6. Step 6: Final answer
    x = 957,035.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.