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Finding the Third Proportional to 295,914 and 639,122

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Solution

The third proportional to 295,914 and 639,122 is: 1,380,390.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,914 : 639,122 = 639,122 : x
  2. Step 2: Convert to fraction form
    295,914/639,122 = 639,122/x
  3. Step 3: Cross multiply
    295,914x = 639,122 × 639,122
  4. Step 4: Simplify right side
    295,914x = 408,476,930,884
  5. Step 5: Solve for x
    x = 408,476,930,884/295,914
  6. Step 6: Final answer
    x = 1,380,390.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.