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Finding the Third Proportional to 327,487 and 520,754

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Solution

The third proportional to 327,487 and 520,754 is: 828,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,487 : 520,754 = 520,754 : x
  2. Step 2: Convert to fraction form
    327,487/520,754 = 520,754/x
  3. Step 3: Cross multiply
    327,487x = 520,754 × 520,754
  4. Step 4: Simplify right side
    327,487x = 271,184,728,516
  5. Step 5: Solve for x
    x = 271,184,728,516/327,487
  6. Step 6: Final answer
    x = 828,077.84

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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.