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Finding the Third Proportional to 324,208 and 520,908

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Solution

The third proportional to 324,208 and 520,908 is: 836,947.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,208 : 520,908 = 520,908 : x
  2. Step 2: Convert to fraction form
    324,208/520,908 = 520,908/x
  3. Step 3: Cross multiply
    324,208x = 520,908 × 520,908
  4. Step 4: Simplify right side
    324,208x = 271,345,144,464
  5. Step 5: Solve for x
    x = 271,345,144,464/324,208
  6. Step 6: Final answer
    x = 836,947.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.