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Finding the Third Proportional to 321,347 and 699,910

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Solution

The third proportional to 321,347 and 699,910 is: 1,524,439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,347 : 699,910 = 699,910 : x
  2. Step 2: Convert to fraction form
    321,347/699,910 = 699,910/x
  3. Step 3: Cross multiply
    321,347x = 699,910 × 699,910
  4. Step 4: Simplify right side
    321,347x = 489,874,008,100
  5. Step 5: Solve for x
    x = 489,874,008,100/321,347
  6. Step 6: Final answer
    x = 1,524,439.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.