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Finding the Third Proportional to 204,928 and 434,176

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Solution

The third proportional to 204,928 and 434,176 is: 919,878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,928 : 434,176 = 434,176 : x
  2. Step 2: Convert to fraction form
    204,928/434,176 = 434,176/x
  3. Step 3: Cross multiply
    204,928x = 434,176 × 434,176
  4. Step 4: Simplify right side
    204,928x = 188,508,798,976
  5. Step 5: Solve for x
    x = 188,508,798,976/204,928
  6. Step 6: Final answer
    x = 919,878.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.