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Finding the Third Proportional to 321,629 and 684,857

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Solution

The third proportional to 321,629 and 684,857 is: 1,458,292.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,629 : 684,857 = 684,857 : x
  2. Step 2: Convert to fraction form
    321,629/684,857 = 684,857/x
  3. Step 3: Cross multiply
    321,629x = 684,857 × 684,857
  4. Step 4: Simplify right side
    321,629x = 469,029,110,449
  5. Step 5: Solve for x
    x = 469,029,110,449/321,629
  6. Step 6: Final answer
    x = 1,458,292.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.