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Finding the Third Proportional to 192,467,428 and 454,188,682

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Solution

The third proportional to 192,467,428 and 454,188,682 is: 1,071,803,998.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,467,428 : 454,188,682 = 454,188,682 : x
  2. Step 2: Convert to fraction form
    192,467,428/454,188,682 = 454,188,682/x
  3. Step 3: Cross multiply
    192,467,428x = 454,188,682 × 454,188,682
  4. Step 4: Simplify right side
    192,467,428x = 206,287,358,856,897,120
  5. Step 5: Solve for x
    x = 206,287,358,856,897,120/192,467,428
  6. Step 6: Final answer
    x = 1,071,803,998.22

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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.