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Finding the Third Proportional to 239,070 and 520,198

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Solution

The third proportional to 239,070 and 520,198 is: 1,131,910.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,070 : 520,198 = 520,198 : x
  2. Step 2: Convert to fraction form
    239,070/520,198 = 520,198/x
  3. Step 3: Cross multiply
    239,070x = 520,198 × 520,198
  4. Step 4: Simplify right side
    239,070x = 270,605,959,204
  5. Step 5: Solve for x
    x = 270,605,959,204/239,070
  6. Step 6: Final answer
    x = 1,131,910.99

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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.