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Finding the Third Proportional to 321,954 and 699,270

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Solution

The third proportional to 321,954 and 699,270 is: 1,518,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,954 : 699,270 = 699,270 : x
  2. Step 2: Convert to fraction form
    321,954/699,270 = 699,270/x
  3. Step 3: Cross multiply
    321,954x = 699,270 × 699,270
  4. Step 4: Simplify right side
    321,954x = 488,978,532,900
  5. Step 5: Solve for x
    x = 488,978,532,900/321,954
  6. Step 6: Final answer
    x = 1,518,783.84

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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.