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Finding the Third Proportional to 109,278,256 and 222,946,206

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Solution

The third proportional to 109,278,256 and 222,946,206 is: 454,848,133.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,278,256 : 222,946,206 = 222,946,206 : x
  2. Step 2: Convert to fraction form
    109,278,256/222,946,206 = 222,946,206/x
  3. Step 3: Cross multiply
    109,278,256x = 222,946,206 × 222,946,206
  4. Step 4: Simplify right side
    109,278,256x = 49,705,010,769,794,432
  5. Step 5: Solve for x
    x = 49,705,010,769,794,432/109,278,256
  6. Step 6: Final answer
    x = 454,848,133.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.