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Finding the Third Proportional to 128,850.75 and 261,326.25

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Solution

The third proportional to 128,850.75 and 261,326.25 is: 530,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,850.75 : 261,326.25 = 261,326.25 : x
  2. Step 2: Convert to fraction form
    128,850.75/261,326.25 = 261,326.25/x
  3. Step 3: Cross multiply
    128,850.75x = 261,326.25 × 261,326.25
  4. Step 4: Simplify right side
    128,850.75x = 68,291,408,939.06
  5. Step 5: Solve for x
    x = 68,291,408,939.06/128,850.75
  6. Step 6: Final answer
    x = 530,003.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.