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Finding the Third Proportional to 121,744 and 246,836

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Solution

The third proportional to 121,744 and 246,836 is: 500,460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,744 : 246,836 = 246,836 : x
  2. Step 2: Convert to fraction form
    121,744/246,836 = 246,836/x
  3. Step 3: Cross multiply
    121,744x = 246,836 × 246,836
  4. Step 4: Simplify right side
    121,744x = 60,928,010,896
  5. Step 5: Solve for x
    x = 60,928,010,896/121,744
  6. Step 6: Final answer
    x = 500,460.07

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.