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Finding the Third Proportional to 321,729 and 693,323

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Solution

The third proportional to 321,729 and 693,323 is: 1,494,104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,729 : 693,323 = 693,323 : x
  2. Step 2: Convert to fraction form
    321,729/693,323 = 693,323/x
  3. Step 3: Cross multiply
    321,729x = 693,323 × 693,323
  4. Step 4: Simplify right side
    321,729x = 480,696,782,329
  5. Step 5: Solve for x
    x = 480,696,782,329/321,729
  6. Step 6: Final answer
    x = 1,494,104.61

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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.