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Finding the Third Proportional to 117,736 and 257,936

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Solution

The third proportional to 117,736 and 257,936 is: 565,086.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,736 : 257,936 = 257,936 : x
  2. Step 2: Convert to fraction form
    117,736/257,936 = 257,936/x
  3. Step 3: Cross multiply
    117,736x = 257,936 × 257,936
  4. Step 4: Simplify right side
    117,736x = 66,530,980,096
  5. Step 5: Solve for x
    x = 66,530,980,096/117,736
  6. Step 6: Final answer
    x = 565,086.13

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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.