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Finding the Third Proportional to 126,929 and 278,771

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Solution

The third proportional to 126,929 and 278,771 is: 612,257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,929 : 278,771 = 278,771 : x
  2. Step 2: Convert to fraction form
    126,929/278,771 = 278,771/x
  3. Step 3: Cross multiply
    126,929x = 278,771 × 278,771
  4. Step 4: Simplify right side
    126,929x = 77,713,270,441
  5. Step 5: Solve for x
    x = 77,713,270,441/126,929
  6. Step 6: Final answer
    x = 612,257.80

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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.