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Finding the Third Proportional to 136,568 and 279,886

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Solution

The third proportional to 136,568 and 279,886 is: 573,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,568 : 279,886 = 279,886 : x
  2. Step 2: Convert to fraction form
    136,568/279,886 = 279,886/x
  3. Step 3: Cross multiply
    136,568x = 279,886 × 279,886
  4. Step 4: Simplify right side
    136,568x = 78,336,172,996
  5. Step 5: Solve for x
    x = 78,336,172,996/136,568
  6. Step 6: Final answer
    x = 573,605.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.