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Finding the Third Proportional to 126,936 and 278,782.50

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Solution

The third proportional to 126,936 and 278,782.50 is: 612,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,936 : 278,782.50 = 278,782.50 : x
  2. Step 2: Convert to fraction form
    126,936/278,782.50 = 278,782.50/x
  3. Step 3: Cross multiply
    126,936x = 278,782.50 × 278,782.50
  4. Step 4: Simplify right side
    126,936x = 77,719,682,306.25
  5. Step 5: Solve for x
    x = 77,719,682,306.25/126,936
  6. Step 6: Final answer
    x = 612,274.55

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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.