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Finding the Third Proportional to 324,195 and 520,890

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Solution

The third proportional to 324,195 and 520,890 is: 836,923.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,195 : 520,890 = 520,890 : x
  2. Step 2: Convert to fraction form
    324,195/520,890 = 520,890/x
  3. Step 3: Cross multiply
    324,195x = 520,890 × 520,890
  4. Step 4: Simplify right side
    324,195x = 271,326,392,100
  5. Step 5: Solve for x
    x = 271,326,392,100/324,195
  6. Step 6: Final answer
    x = 836,923.43

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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.