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Finding the Third Proportional to 129,206,442 and 198,599,229

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Solution

The third proportional to 129,206,442 and 198,599,229 is: 305,260,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,206,442 : 198,599,229 = 198,599,229 : x
  2. Step 2: Convert to fraction form
    129,206,442/198,599,229 = 198,599,229/x
  3. Step 3: Cross multiply
    129,206,442x = 198,599,229 × 198,599,229
  4. Step 4: Simplify right side
    129,206,442x = 39,441,653,759,394,440
  5. Step 5: Solve for x
    x = 39,441,653,759,394,440/129,206,442
  6. Step 6: Final answer
    x = 305,260,737.38

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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.