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Finding the Third Proportional to 204,298 and 430,907

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Solution

The third proportional to 204,298 and 430,907 is: 908,872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,298 : 430,907 = 430,907 : x
  2. Step 2: Convert to fraction form
    204,298/430,907 = 430,907/x
  3. Step 3: Cross multiply
    204,298x = 430,907 × 430,907
  4. Step 4: Simplify right side
    204,298x = 185,680,842,649
  5. Step 5: Solve for x
    x = 185,680,842,649/204,298
  6. Step 6: Final answer
    x = 908,872.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.