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Finding the Third Proportional to 293,176 and 639,020

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Solution

The third proportional to 293,176 and 639,020 is: 1,392,837.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,176 : 639,020 = 639,020 : x
  2. Step 2: Convert to fraction form
    293,176/639,020 = 639,020/x
  3. Step 3: Cross multiply
    293,176x = 639,020 × 639,020
  4. Step 4: Simplify right side
    293,176x = 408,346,560,400
  5. Step 5: Solve for x
    x = 408,346,560,400/293,176
  6. Step 6: Final answer
    x = 1,392,837.61

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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.