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Finding the Third Proportional to 347,156 and 520,734

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Solution

The third proportional to 347,156 and 520,734 is: 781,101

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,156 : 520,734 = 520,734 : x
  2. Step 2: Convert to fraction form
    347,156/520,734 = 520,734/x
  3. Step 3: Cross multiply
    347,156x = 520,734 × 520,734
  4. Step 4: Simplify right side
    347,156x = 271,163,898,756
  5. Step 5: Solve for x
    x = 271,163,898,756/347,156
  6. Step 6: Final answer
    x = 781,101

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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.