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Finding the Third Proportional to 122,404 and 268,856

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Solution

The third proportional to 122,404 and 268,856 is: 590,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,404 : 268,856 = 268,856 : x
  2. Step 2: Convert to fraction form
    122,404/268,856 = 268,856/x
  3. Step 3: Cross multiply
    122,404x = 268,856 × 268,856
  4. Step 4: Simplify right side
    122,404x = 72,283,548,736
  5. Step 5: Solve for x
    x = 72,283,548,736/122,404
  6. Step 6: Final answer
    x = 590,532.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.