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Finding the Third Proportional to 55,780 and 122,679

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Solution

The third proportional to 55,780 and 122,679 is: 269,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,780 : 122,679 = 122,679 : x
  2. Step 2: Convert to fraction form
    55,780/122,679 = 122,679/x
  3. Step 3: Cross multiply
    55,780x = 122,679 × 122,679
  4. Step 4: Simplify right side
    55,780x = 15,050,137,041
  5. Step 5: Solve for x
    x = 15,050,137,041/55,780
  6. Step 6: Final answer
    x = 269,812.42

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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.