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Finding the Third Proportional to 401,934 and 639,801

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Solution

The third proportional to 401,934 and 639,801 is: 1,018,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,934 : 639,801 = 639,801 : x
  2. Step 2: Convert to fraction form
    401,934/639,801 = 639,801/x
  3. Step 3: Cross multiply
    401,934x = 639,801 × 639,801
  4. Step 4: Simplify right side
    401,934x = 409,345,319,601
  5. Step 5: Solve for x
    x = 409,345,319,601/401,934
  6. Step 6: Final answer
    x = 1,018,439.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.