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Finding the Third Proportional to 129,067.50 and 276,817.50

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Solution

The third proportional to 129,067.50 and 276,817.50 is: 593,704.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,067.50 : 276,817.50 = 276,817.50 : x
  2. Step 2: Convert to fraction form
    129,067.50/276,817.50 = 276,817.50/x
  3. Step 3: Cross multiply
    129,067.50x = 276,817.50 × 276,817.50
  4. Step 4: Simplify right side
    129,067.50x = 76,627,928,306.25
  5. Step 5: Solve for x
    x = 76,627,928,306.25/129,067.50
  6. Step 6: Final answer
    x = 593,704.29

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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.