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Finding the Third Proportional to 197,408 and 434,170

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Solution

The third proportional to 197,408 and 434,170 is: 954,893.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,408 : 434,170 = 434,170 : x
  2. Step 2: Convert to fraction form
    197,408/434,170 = 434,170/x
  3. Step 3: Cross multiply
    197,408x = 434,170 × 434,170
  4. Step 4: Simplify right side
    197,408x = 188,503,588,900
  5. Step 5: Solve for x
    x = 188,503,588,900/197,408
  6. Step 6: Final answer
    x = 954,893.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.