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Finding the Third Proportional to 115,862 and 253,869

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Solution

The third proportional to 115,862 and 253,869 is: 556,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,862 : 253,869 = 253,869 : x
  2. Step 2: Convert to fraction form
    115,862/253,869 = 253,869/x
  3. Step 3: Cross multiply
    115,862x = 253,869 × 253,869
  4. Step 4: Simplify right side
    115,862x = 64,449,469,161
  5. Step 5: Solve for x
    x = 64,449,469,161/115,862
  6. Step 6: Final answer
    x = 556,260.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.