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Finding the Third Proportional to 137,991 and 256,296

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Solution

The third proportional to 137,991 and 256,296 is: 476,028.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,991 : 256,296 = 256,296 : x
  2. Step 2: Convert to fraction form
    137,991/256,296 = 256,296/x
  3. Step 3: Cross multiply
    137,991x = 256,296 × 256,296
  4. Step 4: Simplify right side
    137,991x = 65,687,639,616
  5. Step 5: Solve for x
    x = 65,687,639,616/137,991
  6. Step 6: Final answer
    x = 476,028.43

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.