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Finding the Third Proportional to 426,809 and 639,106

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Solution

The third proportional to 426,809 and 639,106 is: 957,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,809 : 639,106 = 639,106 : x
  2. Step 2: Convert to fraction form
    426,809/639,106 = 639,106/x
  3. Step 3: Cross multiply
    426,809x = 639,106 × 639,106
  4. Step 4: Simplify right side
    426,809x = 408,456,479,236
  5. Step 5: Solve for x
    x = 408,456,479,236/426,809
  6. Step 6: Final answer
    x = 957,000.62

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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.