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Finding the Third Proportional to 324,209.25 and 520,911

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Solution

The third proportional to 324,209.25 and 520,911 is: 836,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,209.25 : 520,911 = 520,911 : x
  2. Step 2: Convert to fraction form
    324,209.25/520,911 = 520,911/x
  3. Step 3: Cross multiply
    324,209.25x = 520,911 × 520,911
  4. Step 4: Simplify right side
    324,209.25x = 271,348,269,921
  5. Step 5: Solve for x
    x = 271,348,269,921/324,209.25
  6. Step 6: Final answer
    x = 836,954.13

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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.