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Finding the Third Proportional to 126,936.38 and 278,783.25

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Solution

The third proportional to 126,936.38 and 278,783.25 is: 612,276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,936.38 : 278,783.25 = 278,783.25 : x
  2. Step 2: Convert to fraction form
    126,936.38/278,783.25 = 278,783.25/x
  3. Step 3: Cross multiply
    126,936.38x = 278,783.25 × 278,783.25
  4. Step 4: Simplify right side
    126,936.38x = 77,720,100,480.56
  5. Step 5: Solve for x
    x = 77,720,100,480.56/126,936.38
  6. Step 6: Final answer
    x = 612,276.04

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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.