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Finding the Third Proportional to 129,351.94 and 283,603.78

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Solution

The third proportional to 129,351.94 and 283,603.78 is: 621,800.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,351.94 : 283,603.78 = 283,603.78 : x
  2. Step 2: Convert to fraction form
    129,351.94/283,603.78 = 283,603.78/x
  3. Step 3: Cross multiply
    129,351.94x = 283,603.78 × 283,603.78
  4. Step 4: Simplify right side
    129,351.94x = 80,431,104,739.30
  5. Step 5: Solve for x
    x = 80,431,104,739.30/129,351.94
  6. Step 6: Final answer
    x = 621,800.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.