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Finding the Third Proportional to 126,668 and 278,616

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Solution

The third proportional to 126,668 and 278,616 is: 612,837.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,668 : 278,616 = 278,616 : x
  2. Step 2: Convert to fraction form
    126,668/278,616 = 278,616/x
  3. Step 3: Cross multiply
    126,668x = 278,616 × 278,616
  4. Step 4: Simplify right side
    126,668x = 77,626,875,456
  5. Step 5: Solve for x
    x = 77,626,875,456/126,668
  6. Step 6: Final answer
    x = 612,837.30

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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.