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Finding the Third Proportional to 347,172 and 520,758

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Solution

The third proportional to 347,172 and 520,758 is: 781,137

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,172 : 520,758 = 520,758 : x
  2. Step 2: Convert to fraction form
    347,172/520,758 = 520,758/x
  3. Step 3: Cross multiply
    347,172x = 520,758 × 520,758
  4. Step 4: Simplify right side
    347,172x = 271,188,894,564
  5. Step 5: Solve for x
    x = 271,188,894,564/347,172
  6. Step 6: Final answer
    x = 781,137

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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.