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Finding the Third Proportional to 129,084 and 279,622

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Solution

The third proportional to 129,084 and 279,622 is: 605,717.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,084 : 279,622 = 279,622 : x
  2. Step 2: Convert to fraction form
    129,084/279,622 = 279,622/x
  3. Step 3: Cross multiply
    129,084x = 279,622 × 279,622
  4. Step 4: Simplify right side
    129,084x = 78,188,462,884
  5. Step 5: Solve for x
    x = 78,188,462,884/129,084
  6. Step 6: Final answer
    x = 605,717.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.