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Finding the Third Proportional to 111,285 and 247,448

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Solution

The third proportional to 111,285 and 247,448 is: 550,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,285 : 247,448 = 247,448 : x
  2. Step 2: Convert to fraction form
    111,285/247,448 = 247,448/x
  3. Step 3: Cross multiply
    111,285x = 247,448 × 247,448
  4. Step 4: Simplify right side
    111,285x = 61,230,512,704
  5. Step 5: Solve for x
    x = 61,230,512,704/111,285
  6. Step 6: Final answer
    x = 550,213.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.