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Finding the Third Proportional to 117,781 and 257,993

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Solution

The third proportional to 117,781 and 257,993 is: 565,119.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,781 : 257,993 = 257,993 : x
  2. Step 2: Convert to fraction form
    117,781/257,993 = 257,993/x
  3. Step 3: Cross multiply
    117,781x = 257,993 × 257,993
  4. Step 4: Simplify right side
    117,781x = 66,560,388,049
  5. Step 5: Solve for x
    x = 66,560,388,049/117,781
  6. Step 6: Final answer
    x = 565,119.91

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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.