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Finding the Third Proportional to 128,906,769 and 204,454,138.50

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Solution

The third proportional to 128,906,769 and 204,454,138.50 is: 324,276,956.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,906,769 : 204,454,138.50 = 204,454,138.50 : x
  2. Step 2: Convert to fraction form
    128,906,769/204,454,138.50 = 204,454,138.50/x
  3. Step 3: Cross multiply
    128,906,769x = 204,454,138.50 × 204,454,138.50
  4. Step 4: Simplify right side
    128,906,769x = 41,801,494,749,777,184
  5. Step 5: Solve for x
    x = 41,801,494,749,777,184/128,906,769
  6. Step 6: Final answer
    x = 324,276,956.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.