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Finding the Third Proportional to 129,615 and 269,576

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Solution

The third proportional to 129,615 and 269,576 is: 560,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,615 : 269,576 = 269,576 : x
  2. Step 2: Convert to fraction form
    129,615/269,576 = 269,576/x
  3. Step 3: Cross multiply
    129,615x = 269,576 × 269,576
  4. Step 4: Simplify right side
    129,615x = 72,671,219,776
  5. Step 5: Solve for x
    x = 72,671,219,776/129,615
  6. Step 6: Final answer
    x = 560,669.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.