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Finding the Third Proportional to 327,477 and 492,431

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Solution

The third proportional to 327,477 and 492,431 is: 740,474.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,477 : 492,431 = 492,431 : x
  2. Step 2: Convert to fraction form
    327,477/492,431 = 492,431/x
  3. Step 3: Cross multiply
    327,477x = 492,431 × 492,431
  4. Step 4: Simplify right side
    327,477x = 242,488,289,761
  5. Step 5: Solve for x
    x = 242,488,289,761/327,477
  6. Step 6: Final answer
    x = 740,474.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.