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Finding the Third Proportional to 219,936 and 354,112

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Solution

The third proportional to 219,936 and 354,112 is: 570,144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,936 : 354,112 = 354,112 : x
  2. Step 2: Convert to fraction form
    219,936/354,112 = 354,112/x
  3. Step 3: Cross multiply
    219,936x = 354,112 × 354,112
  4. Step 4: Simplify right side
    219,936x = 125,395,308,544
  5. Step 5: Solve for x
    x = 125,395,308,544/219,936
  6. Step 6: Final answer
    x = 570,144.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.