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Finding the Third Proportional to 197,381 and 434,119

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Solution

The third proportional to 197,381 and 434,119 is: 954,799.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,381 : 434,119 = 434,119 : x
  2. Step 2: Convert to fraction form
    197,381/434,119 = 434,119/x
  3. Step 3: Cross multiply
    197,381x = 434,119 × 434,119
  4. Step 4: Simplify right side
    197,381x = 188,459,306,161
  5. Step 5: Solve for x
    x = 188,459,306,161/197,381
  6. Step 6: Final answer
    x = 954,799.63

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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.