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Finding the Third Proportional to 292,794 and 639,132

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Solution

The third proportional to 292,794 and 639,132 is: 1,395,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,794 : 639,132 = 639,132 : x
  2. Step 2: Convert to fraction form
    292,794/639,132 = 639,132/x
  3. Step 3: Cross multiply
    292,794x = 639,132 × 639,132
  4. Step 4: Simplify right side
    292,794x = 408,489,713,424
  5. Step 5: Solve for x
    x = 408,489,713,424/292,794
  6. Step 6: Final answer
    x = 1,395,143.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.