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Finding the Third Proportional to 109,634 and 256,325

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Solution

The third proportional to 109,634 and 256,325 is: 599,289.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,634 : 256,325 = 256,325 : x
  2. Step 2: Convert to fraction form
    109,634/256,325 = 256,325/x
  3. Step 3: Cross multiply
    109,634x = 256,325 × 256,325
  4. Step 4: Simplify right side
    109,634x = 65,702,505,625
  5. Step 5: Solve for x
    x = 65,702,505,625/109,634
  6. Step 6: Final answer
    x = 599,289.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.