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Finding the Third Proportional to 327,518 and 520,802

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Solution

The third proportional to 327,518 and 520,802 is: 828,152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,518 : 520,802 = 520,802 : x
  2. Step 2: Convert to fraction form
    327,518/520,802 = 520,802/x
  3. Step 3: Cross multiply
    327,518x = 520,802 × 520,802
  4. Step 4: Simplify right side
    327,518x = 271,234,723,204
  5. Step 5: Solve for x
    x = 271,234,723,204/327,518
  6. Step 6: Final answer
    x = 828,152.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.