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Finding the Third Proportional to 129,205,022 and 198,597,386

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Solution

The third proportional to 129,205,022 and 198,597,386 is: 305,258,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205,022 : 198,597,386 = 198,597,386 : x
  2. Step 2: Convert to fraction form
    129,205,022/198,597,386 = 198,597,386/x
  3. Step 3: Cross multiply
    129,205,022x = 198,597,386 × 198,597,386
  4. Step 4: Simplify right side
    129,205,022x = 39,440,921,726,032,992
  5. Step 5: Solve for x
    x = 39,440,921,726,032,992/129,205,022
  6. Step 6: Final answer
    x = 305,258,426.61

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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.