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Finding the Third Proportional to 126,996 and 278,898

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Solution

The third proportional to 126,996 and 278,898 is: 612,492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,996 : 278,898 = 278,898 : x
  2. Step 2: Convert to fraction form
    126,996/278,898 = 278,898/x
  3. Step 3: Cross multiply
    126,996x = 278,898 × 278,898
  4. Step 4: Simplify right side
    126,996x = 77,784,094,404
  5. Step 5: Solve for x
    x = 77,784,094,404/126,996
  6. Step 6: Final answer
    x = 612,492.48

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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.