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Finding the Third Proportional to 347,296 and 520,848

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Solution

The third proportional to 347,296 and 520,848 is: 781,128.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,296 : 520,848 = 520,848 : x
  2. Step 2: Convert to fraction form
    347,296/520,848 = 520,848/x
  3. Step 3: Cross multiply
    347,296x = 520,848 × 520,848
  4. Step 4: Simplify right side
    347,296x = 271,282,639,104
  5. Step 5: Solve for x
    x = 271,282,639,104/347,296
  6. Step 6: Final answer
    x = 781,128.03

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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.