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Finding the Third Proportional to 115,224 and 239,645

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Solution

The third proportional to 115,224 and 239,645 is: 498,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,224 : 239,645 = 239,645 : x
  2. Step 2: Convert to fraction form
    115,224/239,645 = 239,645/x
  3. Step 3: Cross multiply
    115,224x = 239,645 × 239,645
  4. Step 4: Simplify right side
    115,224x = 57,429,726,025
  5. Step 5: Solve for x
    x = 57,429,726,025/115,224
  6. Step 6: Final answer
    x = 498,418.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.