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Finding the Third Proportional to 128,940.75 and 283,408.88

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Solution

The third proportional to 128,940.75 and 283,408.88 is: 622,926.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,940.75 : 283,408.88 = 283,408.88 : x
  2. Step 2: Convert to fraction form
    128,940.75/283,408.88 = 283,408.88/x
  3. Step 3: Cross multiply
    128,940.75x = 283,408.88 × 283,408.88
  4. Step 4: Simplify right side
    128,940.75x = 80,320,590,428.77
  5. Step 5: Solve for x
    x = 80,320,590,428.77/128,940.75
  6. Step 6: Final answer
    x = 622,926.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.