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Finding the Third Proportional to 129,069 and 276,815.25

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Solution

The third proportional to 129,069 and 276,815.25 is: 593,687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,069 : 276,815.25 = 276,815.25 : x
  2. Step 2: Convert to fraction form
    129,069/276,815.25 = 276,815.25/x
  3. Step 3: Cross multiply
    129,069x = 276,815.25 × 276,815.25
  4. Step 4: Simplify right side
    129,069x = 76,626,682,632.56
  5. Step 5: Solve for x
    x = 76,626,682,632.56/129,069
  6. Step 6: Final answer
    x = 593,687.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.