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Finding the Third Proportional to 231,436 and 347,808

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Solution

The third proportional to 231,436 and 347,808 is: 522,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,436 : 347,808 = 347,808 : x
  2. Step 2: Convert to fraction form
    231,436/347,808 = 347,808/x
  3. Step 3: Cross multiply
    231,436x = 347,808 × 347,808
  4. Step 4: Simplify right side
    231,436x = 120,970,404,864
  5. Step 5: Solve for x
    x = 120,970,404,864/231,436
  6. Step 6: Final answer
    x = 522,694.85

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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.