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Finding the Third Proportional to 129,068 and 276,821

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Solution

The third proportional to 129,068 and 276,821 is: 593,717.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,068 : 276,821 = 276,821 : x
  2. Step 2: Convert to fraction form
    129,068/276,821 = 276,821/x
  3. Step 3: Cross multiply
    129,068x = 276,821 × 276,821
  4. Step 4: Simplify right side
    129,068x = 76,629,866,041
  5. Step 5: Solve for x
    x = 76,629,866,041/129,068
  6. Step 6: Final answer
    x = 593,717.00

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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.