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Finding the Third Proportional to 197,340 and 434,208

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Solution

The third proportional to 197,340 and 434,208 is: 955,389.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,340 : 434,208 = 434,208 : x
  2. Step 2: Convert to fraction form
    197,340/434,208 = 434,208/x
  3. Step 3: Cross multiply
    197,340x = 434,208 × 434,208
  4. Step 4: Simplify right side
    197,340x = 188,536,587,264
  5. Step 5: Solve for x
    x = 188,536,587,264/197,340
  6. Step 6: Final answer
    x = 955,389.62

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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.