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Finding the Third Proportional to 200,739 and 436,467

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Solution

The third proportional to 200,739 and 436,467 is: 949,010.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,739 : 436,467 = 436,467 : x
  2. Step 2: Convert to fraction form
    200,739/436,467 = 436,467/x
  3. Step 3: Cross multiply
    200,739x = 436,467 × 436,467
  4. Step 4: Simplify right side
    200,739x = 190,503,442,089
  5. Step 5: Solve for x
    x = 190,503,442,089/200,739
  6. Step 6: Final answer
    x = 949,010.62

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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.