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Finding the Third Proportional to 129,196,928 and 283,504,387

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Solution

The third proportional to 129,196,928 and 283,504,387 is: 622,110,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,196,928 : 283,504,387 = 283,504,387 : x
  2. Step 2: Convert to fraction form
    129,196,928/283,504,387 = 283,504,387/x
  3. Step 3: Cross multiply
    129,196,928x = 283,504,387 × 283,504,387
  4. Step 4: Simplify right side
    129,196,928x = 80,374,737,448,245,776
  5. Step 5: Solve for x
    x = 80,374,737,448,245,776/129,196,928
  6. Step 6: Final answer
    x = 622,110,283.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.