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Finding the Third Proportional to 128,936.25 and 274,480.88

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Solution

The third proportional to 128,936.25 and 274,480.88 is: 584,317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,936.25 : 274,480.88 = 274,480.88 : x
  2. Step 2: Convert to fraction form
    128,936.25/274,480.88 = 274,480.88/x
  3. Step 3: Cross multiply
    128,936.25x = 274,480.88 × 274,480.88
  4. Step 4: Simplify right side
    128,936.25x = 75,339,750,740.77
  5. Step 5: Solve for x
    x = 75,339,750,740.77/128,936.25
  6. Step 6: Final answer
    x = 584,317.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.