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Finding the Third Proportional to 321,208 and 705,973

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Solution

The third proportional to 321,208 and 705,973 is: 1,551,635.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,208 : 705,973 = 705,973 : x
  2. Step 2: Convert to fraction form
    321,208/705,973 = 705,973/x
  3. Step 3: Cross multiply
    321,208x = 705,973 × 705,973
  4. Step 4: Simplify right side
    321,208x = 498,397,876,729
  5. Step 5: Solve for x
    x = 498,397,876,729/321,208
  6. Step 6: Final answer
    x = 1,551,635.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.