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Finding the Third Proportional to 126,698 and 276,928

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Solution

The third proportional to 126,698 and 276,928 is: 605,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,698 : 276,928 = 276,928 : x
  2. Step 2: Convert to fraction form
    126,698/276,928 = 276,928/x
  3. Step 3: Cross multiply
    126,698x = 276,928 × 276,928
  4. Step 4: Simplify right side
    126,698x = 76,689,117,184
  5. Step 5: Solve for x
    x = 76,689,117,184/126,698
  6. Step 6: Final answer
    x = 605,290.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.