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Finding the Third Proportional to 239,181 and 520,401

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Solution

The third proportional to 239,181 and 520,401 is: 1,132,268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,181 : 520,401 = 520,401 : x
  2. Step 2: Convert to fraction form
    239,181/520,401 = 520,401/x
  3. Step 3: Cross multiply
    239,181x = 520,401 × 520,401
  4. Step 4: Simplify right side
    239,181x = 270,817,200,801
  5. Step 5: Solve for x
    x = 270,817,200,801/239,181
  6. Step 6: Final answer
    x = 1,132,268.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.