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Finding the Third Proportional to 321,678 and 679,644

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Solution

The third proportional to 321,678 and 679,644 is: 1,435,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,678 : 679,644 = 679,644 : x
  2. Step 2: Convert to fraction form
    321,678/679,644 = 679,644/x
  3. Step 3: Cross multiply
    321,678x = 679,644 × 679,644
  4. Step 4: Simplify right side
    321,678x = 461,915,966,736
  5. Step 5: Solve for x
    x = 461,915,966,736/321,678
  6. Step 6: Final answer
    x = 1,435,957.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.