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Finding the Third Proportional to 126,849 and 278,808

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Solution

The third proportional to 126,849 and 278,808 is: 612,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,849 : 278,808 = 278,808 : x
  2. Step 2: Convert to fraction form
    126,849/278,808 = 278,808/x
  3. Step 3: Cross multiply
    126,849x = 278,808 × 278,808
  4. Step 4: Simplify right side
    126,849x = 77,733,900,864
  5. Step 5: Solve for x
    x = 77,733,900,864/126,849
  6. Step 6: Final answer
    x = 612,806.57

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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.