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Finding the Third Proportional to 129,206,448 and 198,599,238

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Solution

The third proportional to 129,206,448 and 198,599,238 is: 305,260,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,206,448 : 198,599,238 = 198,599,238 : x
  2. Step 2: Convert to fraction form
    129,206,448/198,599,238 = 198,599,238/x
  3. Step 3: Cross multiply
    129,206,448x = 198,599,238 × 198,599,238
  4. Step 4: Simplify right side
    129,206,448x = 39,441,657,334,180,640
  5. Step 5: Solve for x
    x = 39,441,657,334,180,640/129,206,448
  6. Step 6: Final answer
    x = 305,260,750.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.