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Finding the Third Proportional to 321,944 and 699,250

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Solution

The third proportional to 321,944 and 699,250 is: 1,518,744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,944 : 699,250 = 699,250 : x
  2. Step 2: Convert to fraction form
    321,944/699,250 = 699,250/x
  3. Step 3: Cross multiply
    321,944x = 699,250 × 699,250
  4. Step 4: Simplify right side
    321,944x = 488,950,562,500
  5. Step 5: Solve for x
    x = 488,950,562,500/321,944
  6. Step 6: Final answer
    x = 1,518,744.14

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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.