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Finding the Third Proportional to 321,968.25 and 699,296.63

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Solution

The third proportional to 321,968.25 and 699,296.63 is: 1,518,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,968.25 : 699,296.63 = 699,296.63 : x
  2. Step 2: Convert to fraction form
    321,968.25/699,296.63 = 699,296.63/x
  3. Step 3: Cross multiply
    321,968.25x = 699,296.63 × 699,296.63
  4. Step 4: Simplify right side
    321,968.25x = 489,015,769,736.39
  5. Step 5: Solve for x
    x = 489,015,769,736.39/321,968.25
  6. Step 6: Final answer
    x = 1,518,832.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.