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Finding the Third Proportional to 206,112 and 439,224

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Solution

The third proportional to 206,112 and 439,224 is: 935,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,112 : 439,224 = 439,224 : x
  2. Step 2: Convert to fraction form
    206,112/439,224 = 439,224/x
  3. Step 3: Cross multiply
    206,112x = 439,224 × 439,224
  4. Step 4: Simplify right side
    206,112x = 192,917,722,176
  5. Step 5: Solve for x
    x = 192,917,722,176/206,112
  6. Step 6: Final answer
    x = 935,984.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.