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Finding the Third Proportional to 120,832 and 256,336

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Solution

The third proportional to 120,832 and 256,336 is: 543,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,832 : 256,336 = 256,336 : x
  2. Step 2: Convert to fraction form
    120,832/256,336 = 256,336/x
  3. Step 3: Cross multiply
    120,832x = 256,336 × 256,336
  4. Step 4: Simplify right side
    120,832x = 65,708,144,896
  5. Step 5: Solve for x
    x = 65,708,144,896/120,832
  6. Step 6: Final answer
    x = 543,797.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.