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Finding the Third Proportional to 192,414,992 and 420,099,713.50

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Solution

The third proportional to 192,414,992 and 420,099,713.50 is: 917,203,838.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,414,992 : 420,099,713.50 = 420,099,713.50 : x
  2. Step 2: Convert to fraction form
    192,414,992/420,099,713.50 = 420,099,713.50/x
  3. Step 3: Cross multiply
    192,414,992x = 420,099,713.50 × 420,099,713.50
  4. Step 4: Simplify right side
    192,414,992x = 176,483,769,282,782,080
  5. Step 5: Solve for x
    x = 176,483,769,282,782,080/192,414,992
  6. Step 6: Final answer
    x = 917,203,838.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.