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Finding the Third Proportional to 115,869 and 253,887

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Solution

The third proportional to 115,869 and 253,887 is: 556,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,869 : 253,887 = 253,887 : x
  2. Step 2: Convert to fraction form
    115,869/253,887 = 253,887/x
  3. Step 3: Cross multiply
    115,869x = 253,887 × 253,887
  4. Step 4: Simplify right side
    115,869x = 64,458,608,769
  5. Step 5: Solve for x
    x = 64,458,608,769/115,869
  6. Step 6: Final answer
    x = 556,305.90

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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.