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Finding the Third Proportional to 347,176 and 520,764

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Solution

The third proportional to 347,176 and 520,764 is: 781,146

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,176 : 520,764 = 520,764 : x
  2. Step 2: Convert to fraction form
    347,176/520,764 = 520,764/x
  3. Step 3: Cross multiply
    347,176x = 520,764 × 520,764
  4. Step 4: Simplify right side
    347,176x = 271,195,143,696
  5. Step 5: Solve for x
    x = 271,195,143,696/347,176
  6. Step 6: Final answer
    x = 781,146

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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.