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Finding the Third Proportional to 327,648 and 520,992

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Solution

The third proportional to 327,648 and 520,992 is: 828,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,648 : 520,992 = 520,992 : x
  2. Step 2: Convert to fraction form
    327,648/520,992 = 520,992/x
  3. Step 3: Cross multiply
    327,648x = 520,992 × 520,992
  4. Step 4: Simplify right side
    327,648x = 271,432,664,064
  5. Step 5: Solve for x
    x = 271,432,664,064/327,648
  6. Step 6: Final answer
    x = 828,427.65

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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.