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Finding the Third Proportional to 122,736 and 273,120

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Solution

The third proportional to 122,736 and 273,120 is: 607,764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,736 : 273,120 = 273,120 : x
  2. Step 2: Convert to fraction form
    122,736/273,120 = 273,120/x
  3. Step 3: Cross multiply
    122,736x = 273,120 × 273,120
  4. Step 4: Simplify right side
    122,736x = 74,594,534,400
  5. Step 5: Solve for x
    x = 74,594,534,400/122,736
  6. Step 6: Final answer
    x = 607,764.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.