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Finding the Third Proportional to 129,105.25 and 279,650.25

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Solution

The third proportional to 129,105.25 and 279,650.25 is: 605,740.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,105.25 : 279,650.25 = 279,650.25 : x
  2. Step 2: Convert to fraction form
    129,105.25/279,650.25 = 279,650.25/x
  3. Step 3: Cross multiply
    129,105.25x = 279,650.25 × 279,650.25
  4. Step 4: Simplify right side
    129,105.25x = 78,204,262,325.06
  5. Step 5: Solve for x
    x = 78,204,262,325.06/129,105.25
  6. Step 6: Final answer
    x = 605,740.37

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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.