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Finding the Third Proportional to 126,563 and 278,390

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Solution

The third proportional to 126,563 and 278,390 is: 612,351.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,563 : 278,390 = 278,390 : x
  2. Step 2: Convert to fraction form
    126,563/278,390 = 278,390/x
  3. Step 3: Cross multiply
    126,563x = 278,390 × 278,390
  4. Step 4: Simplify right side
    126,563x = 77,500,992,100
  5. Step 5: Solve for x
    x = 77,500,992,100/126,563
  6. Step 6: Final answer
    x = 612,351.10

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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.