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Finding the Third Proportional to 321,569 and 689,794

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Solution

The third proportional to 321,569 and 689,794 is: 1,479,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,569 : 689,794 = 689,794 : x
  2. Step 2: Convert to fraction form
    321,569/689,794 = 689,794/x
  3. Step 3: Cross multiply
    321,569x = 689,794 × 689,794
  4. Step 4: Simplify right side
    321,569x = 475,815,762,436
  5. Step 5: Solve for x
    x = 475,815,762,436/321,569
  6. Step 6: Final answer
    x = 1,479,669.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.