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Finding the Third Proportional to 204,096 and 432,894

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Solution

The third proportional to 204,096 and 432,894 is: 918,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,096 : 432,894 = 432,894 : x
  2. Step 2: Convert to fraction form
    204,096/432,894 = 432,894/x
  3. Step 3: Cross multiply
    204,096x = 432,894 × 432,894
  4. Step 4: Simplify right side
    204,096x = 187,397,215,236
  5. Step 5: Solve for x
    x = 187,397,215,236/204,096
  6. Step 6: Final answer
    x = 918,181.71

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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.