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Finding the Third Proportional to 131,872 and 276,704

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Solution

The third proportional to 131,872 and 276,704 is: 580,601.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,872 : 276,704 = 276,704 : x
  2. Step 2: Convert to fraction form
    131,872/276,704 = 276,704/x
  3. Step 3: Cross multiply
    131,872x = 276,704 × 276,704
  4. Step 4: Simplify right side
    131,872x = 76,565,103,616
  5. Step 5: Solve for x
    x = 76,565,103,616/131,872
  6. Step 6: Final answer
    x = 580,601.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.