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Finding the Third Proportional to 321,439,844 and 697,677,142

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Solution

The third proportional to 321,439,844 and 697,677,142 is: 1,514,290,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,439,844 : 697,677,142 = 697,677,142 : x
  2. Step 2: Convert to fraction form
    321,439,844/697,677,142 = 697,677,142/x
  3. Step 3: Cross multiply
    321,439,844x = 697,677,142 × 697,677,142
  4. Step 4: Simplify right side
    321,439,844x = 486,753,394,469,288,192
  5. Step 5: Solve for x
    x = 486,753,394,469,288,192/321,439,844
  6. Step 6: Final answer
    x = 1,514,290,787.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.