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Finding the Third Proportional to 192,467,432 and 454,188,692

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Solution

The third proportional to 192,467,432 and 454,188,692 is: 1,071,804,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,467,432 : 454,188,692 = 454,188,692 : x
  2. Step 2: Convert to fraction form
    192,467,432/454,188,692 = 454,188,692/x
  3. Step 3: Cross multiply
    192,467,432x = 454,188,692 × 454,188,692
  4. Step 4: Simplify right side
    192,467,432x = 206,287,367,940,670,848
  5. Step 5: Solve for x
    x = 206,287,367,940,670,848/192,467,432
  6. Step 6: Final answer
    x = 1,071,804,023.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.