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Finding the Third Proportional to 281,668 and 611,912

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Solution

The third proportional to 281,668 and 611,912 is: 1,329,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,668 : 611,912 = 611,912 : x
  2. Step 2: Convert to fraction form
    281,668/611,912 = 611,912/x
  3. Step 3: Cross multiply
    281,668x = 611,912 × 611,912
  4. Step 4: Simplify right side
    281,668x = 374,436,295,744
  5. Step 5: Solve for x
    x = 374,436,295,744/281,668
  6. Step 6: Final answer
    x = 1,329,353.34

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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.