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Finding the Third Proportional to 122,647 and 164,821

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Solution

The third proportional to 122,647 and 164,821 is: 221,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,647 : 164,821 = 164,821 : x
  2. Step 2: Convert to fraction form
    122,647/164,821 = 164,821/x
  3. Step 3: Cross multiply
    122,647x = 164,821 × 164,821
  4. Step 4: Simplify right side
    122,647x = 27,165,962,041
  5. Step 5: Solve for x
    x = 27,165,962,041/122,647
  6. Step 6: Final answer
    x = 221,497.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.